Question

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Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Let us consider angle A as "x".

then, PAB = x/2 or A= 2 PAB (angle bisector of A)

B=2 PBA (angle bisector of A)

Angle A + angle B =180 (sum of two interior angles)

2 PAB + 2 PBA =180

2(PAB + PBA)=180

PAB + PBA=180/2

PAB + PBA=90

PBA = 90- PAB

PBA = 90- x/2 (PAB= x/2)

PAB + PBA + APB =180 (angle sum property of triangle)

x/2+(90-x/2)+ APB =180

x/2 + 90 - x/2 + APB = 180

90 + APB = 180

APB = 180 - 90

APB = 90°