Question

In the diagram below, if arc AB measures 62 ° and arc DC measures 102 °, find the measure of < APD.

Answer 1

The measure of angle < APD = 98°. That is option D

Calculation of the missing angle

Angle APB = 62°

Angle DPC = 102°

But length AD = BC

Therefore, angle APD = BPC

Also, the angle at a point = 360°

The sum of the angles given = 102 + 62 = 164°

The remaining angle = 360 - 164 = 196°

Therefore angle APD = 196/2 = 98°

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