Question

The bisector of angleA and angleB meet at a point P. If angle C = 50° and angle D = 100%, find the measure of angle APB
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Answer 1

Answer:

the answer for this question is 75

Answer 2

Answer:

in a quadrilateral opp side sum - 180°

so angle bcd+angle bad =180°

180-50=130°

2x=130°

x=65°

so Angle adc + angle abc = 180°

180-100=80°

2y=80

y=40°

in triangle APB

Angle pab + angle pba + angle APB = 180°

65°+40°+ APB = 180°

180° - 105°= APB

APB=75°