In quadrilateral PQRS, angle P = angle R and angle Q = angle S (a parallelogram).
If angle P + angle Q = 180° and angle P exceeds angle Q by 40°, find angle P.

Question

In quadrilateral PQRS, angle P = angle R and angle Q = angle S (a parallelogram). If angle P + angle Q = 180° and angle P exceeds angle Q by 40°, find angle P.

Accepted Answer

110. angle P + angle Q = 180 and angle P - angle Q = 40. Adding: 2 angle P = 220, so angle P = 110°.

In quadrilateral PQRS, angle P = angle R and angle Q = angle S (a parallelogram).
If angle P + angle Q = 180° and angle P exceeds angle Q by 40°, find angle P.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Angle Sum Property of Quadrilaterals practice

In quadrilateral PQRS, angle P = angle R and angle Q = angle S (a parallelogram).If angle P + angle Q = 180° and angle P exceeds angle Q by 40°, find angle P.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Angle Sum Property of Quadrilaterals practice

In quadrilateral PQRS, angle P = angle R and angle Q = angle S (a parallelogram).
If angle P + angle Q = 180° and angle P exceeds angle Q by 40°, find angle P.