In quadrilateral ABCD, the bisectors of angle A and angle B meet at point P.
If angle A = 80° and angle B = 100°, find angle APB (the angle of the triangle ABP at P).

Question

In quadrilateral ABCD, the bisectors of angle A and angle B meet at point P. If angle A = 80° and angle B = 100°, find angle APB (the angle of the triangle ABP at P).

Accepted Answer

90. In triangle ABP, the angles at A and B are half of angle A and angle B: 40° and 50°. angle APB = 180 - (40 + 50) = 90°.

In quadrilateral ABCD, the bisectors of angle A and angle B meet at point P.
If angle A = 80° and angle B = 100°, find angle APB (the angle of the triangle ABP at P).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Angle Sum Property of Quadrilaterals practice

In quadrilateral ABCD, the bisectors of angle A and angle B meet at point P.If angle A = 80° and angle B = 100°, find angle APB (the angle of the triangle ABP at P).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Angle Sum Property of Quadrilaterals practice

In quadrilateral ABCD, the bisectors of angle A and angle B meet at point P.
If angle A = 80° and angle B = 100°, find angle APB (the angle of the triangle ABP at P).