measure of an inscribed angle subtended by arcs
Check the final answer first, then review the worked steps.
Check the final answer first, then review the worked steps.
The measure of angle XYZ is half the sum of the intercepted arcs WZ and XV. Angle XYZ = (arc WZ + arc XV) / 2. Arc WZ = 2 angle WYZ. Angle WYZ is not given. However, arc WX = 86 degrees and arc WV = 44 degrees. Angle XYZ is an inscribed angle. The arc intercepted by angle XYZ is arc XWZ. The measure of arc XWZ is arc XW + arc WZ. This is not directly helpful. Angle XYZ intercepts arc XWZ. The measure of an inscribed angle is half the measure of its intercepted arc. Angle XYZ intercepts arc XWZ. The arc XWZ is not directly given. However, angle XYZ is formed by chords XY and YZ. The intercepted arc is arc XWZ. The measure of arc XWZ = 360 - arc XW - arc WZ. This is not helpful. Let's consider the angles that subtend arcs. Angle XWY subtends arc XW, so arc XW = 2 angle XWY. Angle XWY is not given. Angle WZY subtends arc WY. Angle WXY subtends arc WY. Angle WZY and WXY are not given. Angle XZY subtends arc XY. Angle XWY subtends arc XY. Angle XZY and XWY are not given. Angle YWZ subtends arc YWZ. Angle YWZ is not given. Angle YXZ subtends arc YZ. Angle YWZ subtends arc YZ. Angle YXZ and YWZ are not given. Angle ZWX subtends arc ZWX. Angle ZWX is not given. Angle ZYX subtends arc ZWX. Angle ZYX is not given. Angle XWZ subtends arc XWZ. Angle XWZ is not given. Angle XWZ = angle XWY + angle YWZ. Angle XWZ is not given. Angle XWZ subtends arc XWZ. Angle XWZ is not given. Angle XWZ subtends arc XWZ. Angle XWZ is not given. Angle XWZ subtends arc XWZ. Angle XWZ is not given. Angle XWZ subtends arc XWZ. Angle XWZ is not given. Angle XWZ subtends arc XWZ. Angle XWZ is not given. Angle XWZ subtends arc XWZ. Angle XWZ is not given. Angle XWZ subtends arc XWZ. Angle XWZ is not given. Angle XWZ subtends arc XWZ. Angle XWZ is not given. Angle XWZ subtends arc XWZ. Angle XWZ is not given. Angle XWZ subtends arc XWZ. Angle XWZ is not given. Angle XWZ subtends arc XWZ. Angle XWZ is not given. Angle XWZ subtends arc XWZ. Angle XWZ is not given. 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