Question

In the adjoining figure,the bisector of angle A and angle B meet in a point P. If angle C=100° and angle D=60°, find the measure of angle APB.​

Answer 1

Step-by-step explanation:

60∘+100∘+∠A+∠B=360∘

⇒∠A+∠B=200∘

⇒∠A+∠B/2=100∘

⇒∠BAP+∠ABP=100∘

But  ∠BAP+∠ABP+∠APB=180∘

⇒∠APB=80∘