In a quadrilateral PQRS, angle P = 100°, angle Q = 80°, angle R = 100°.
Find angle S (in degrees) and decide if PQRS is a parallelogram.
Give the value of angle S.

Question

In a quadrilateral PQRS, angle P = 100°, angle Q = 80°, angle R = 100°. Find angle S (in degrees) and decide if PQRS is a parallelogram. Give the value of angle S.

Accepted Answer

80. Angle sum is 360: angle S = 360 - (100 + 80 + 100) = 80°. Opposite angles are equal (100=100, 80=80), so PQRS is a parallelogram; angle S = 80°.

In a quadrilateral PQRS, angle P = 100°, angle Q = 80°, angle R = 100°.
Find angle S (in degrees) and decide if PQRS is a parallelogram.
Give the value of angle S.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Conditions for a Parallelogram practice

In a quadrilateral PQRS, angle P = 100°, angle Q = 80°, angle R = 100°.Find angle S (in degrees) and decide if PQRS is a parallelogram.Give the value of angle S.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Conditions for a Parallelogram practice

In a quadrilateral PQRS, angle P = 100°, angle Q = 80°, angle R = 100°.
Find angle S (in degrees) and decide if PQRS is a parallelogram.
Give the value of angle S.