Question

Find p
please explain step by step... ​

Answer 1

Answer:

P = 80

Step-by-step explanation:

sum of angles of quadrilateral is 360.

so A+B = 360-(110+50) = 200

both A and B are bisected, so

in triangle ABP,

A+B = 200/2 = 100

(it is not possible to find angles A and B individually)

sum of angles of triangle =180

so P = 180-(A+B) = 80

Answer 2

Answer:

∠APB = 80°.

Step-by-step explanation:

here, ∠A + ∠B + ∠C + ∠D = 360°  (Angle Sum Property of Quadrilateral)

      = ∠A + ∠B + 50° + 110° = 360°

      = ∠A + ∠B = 360° - 160°

      = ∠A + ∠B = 200°

∵ ∠A and ∠B are bisected by AP and BP.

now, ∠APB + ∠PAB + ∠PBA = 180°  (Angle Sum Property of Triangle)

      = ∠APB + (∠A + ∠B)/2 = 180°  ( we can write ∠PAB + ∠PBA as (∠A + ∠B)/2 )

      = ∠APB = 180° - 100°

      = ∠APB = 80°

∴∠APB = 80°

hope it will help you.