What is the measure of arc XY?

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Problem

What is the measure of arc XY?

Step-by-step solution

The arc ZV is 43 degrees. The arc ZW is 90 degrees. The arc WY is 90 degrees. The arc XY is the sum of arc XW and arc WY. Since XW is a semicircle, its measure is 180 degrees. However, XW is not a semicircle. The angle ZWV is 90 degrees, so arc ZV is 43 degrees. Angle ZWV is 90 degrees, so arc ZW is 90 degrees. Angle YWV is 90 degrees, so arc YW is 90 degrees. Angle ZWY is 180 degrees, so arc ZY is 180 degrees. Angle XWV is 90 degrees, so arc XW is 90 degrees. Angle XYW is not given. We are given that the arc ZV is 43 degrees. Angle ZWV = 90 degrees, so arc ZW = 90 degrees. Angle YWV = 90 degrees, so arc YW = 90 degrees. Angle XWV = 90 degrees, so arc XW = 90 degrees. The arc XY is the sum of arc XW and arc WY. Arc XY = arc XW + arc WY. Arc XY = 90 + 90 = 180 degrees. This is incorrect. Let's re-examine the diagram. The angle ZWV is 90 degrees, which means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees, which means arc YW = 90 degrees and arc WV = 90 degrees. The angle ZWY is 180 degrees, which means arc ZY = 180 degrees. The angle XWV is 90 degrees, which means arc XW = 90 degrees and arc WV = 90 degrees. The angle Z is 43 degrees. This is an inscribed angle. The arc Z is not an angle. The arc ZV is 43 degrees. This means the central angle subtending arc ZV is 43 degrees. However, we are given that angle ZWV is 90 degrees. So arc ZW = 90 degrees and arc WV = 90 degrees. Angle YWV = 90 degrees, so arc YW = 90 degrees. Angle XWV = 90 degrees, so arc XW = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV = 90 degrees. The angle YWV is 90 degrees. This means arc YW = 90 degrees and arc WV = 90 degrees. The angle XWV is 90 degrees. This means arc XW = 90 degrees and arc WV = 90 degrees. The arc ZV is 43 degrees. This is given. The angle ZWV is 90 degrees. This means arc ZW = 90 degrees and arc WV =

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Answer

137