A tangent-tangent angle intercepts two arcs that measure 124 degrees and 236 degree...

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Problem

A tangent-tangent angle intercepts two arcs that measure 124 degrees and 236 degrees. What is the measure of the tangent-tangent angle?

Step-by-step solution

The measure of a tangent-tangent angle is half the difference between the measures of the intercepted arcs. Angle = $(236 - 124) / 2 = 112 / 2 = 56$ degrees.

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Answer

$56^{\circ}$