Question

please help me solve this question​

Answer 1

Answer:

63 degrees

Step-by-step explanation:

let angle a = x and angle b = y, angle c = 96 and angle d = 30

we know that sum of interior angles of a quadrilateral is 360 degrees.

so, x + y + 96 + 30 = 360

x + y = 360 - 96 - 30

x + y = 330 - 96 = 234 ___(1)

and also ️ APB has 180 degrees as a sum of 180 degrees as sum of it's interior angles.

so, angle PAB = x/2 and angle PBA = y/2 ___(given)

so, angle PAB + angle PBA + angle APB = 180

x/2 + y/2 + angle P = 180

angle P = 180 - (( x + y )/2)

from (1), angle P = 180 - (234/2) = 180 - 117 = 63 degrees