Question

In the adjoining figure, the bisectors of angle a and angle b meet at point p .if angle c = 100 and angle d = 80 , find the measure of angle apb ​

Answer 1

Answer:

angle P is 90°

Step-by-step explanation:

angle A = angleC is 100° (opposite angle of a quadrilateral)

angle B = angle D is 80°

bisector of angle A = 50

bisector of angle B = 40

APB is a triangle, where angle PAB = angleA = 50

angle PBA = angle B = 40

PAB + APB + PBA = 180° ( angles of a triangle)

50 + APB + 40 = 180°

90 + APB = 180°

APB = 180 - 90

APB = 90