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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