Question

In the adjoining figure , the bisectors of angle A and angoe B meet at point P . If angle C=100 degree and angle D = 50 degree , find the measure of angle APB​

Answer 1

Step-by-step explanation:

Sum of angle A and B = 360° - (100° + 50°) { sum of all interior angles of a quadrilateral is 360°}

Sum of angle A and B = 360° - 150° = 210°

Sum of bisectors of angle A and B = 210°/2

Sum of bisectors of angle A and B = 105°

Angle APB = 180° - 105° = 75° {Sum of all interior angles of a triangle is 180°}