Question

In the adjacent figure, the bisectors of angle A and
angle B meet an a Point P, if angle c=120 and
angle b=40; find the measure of angle APB.
​

Answer 1

Answer:

150⁰

Step-by-step explanation:

as angle b=40⁰

angle pba=20⁰(half of angle B as PB bisects angle B)

now angle a =180-(120+40)

a=20

angle pab=10⁰(half of angle A as PA bisects angle A)

Now in triangle PAB

angle PAB + angle APB+ angle ABP=180⁰(angle sum property of triangle)

20⁰+10⁰+angle APB=180⁰

angle APB=180⁰-30⁰

angleAPB=150⁰