Question

In a parallelogram PQRS given below, ∠Q = (4x – 5)° and ∠R = (3x + 10)°.
Find the value of x.

Answer 1

Answer:

In parallelogram PQRS,

∠Q = (4x – 5)° and ∠S = (3x + 10)°

opposite ∠s of //gm are equal.

∠Q = ∠S

4x – 5 = 3x + 10

4x – 3x = 10 + 5

x = 15

∠Q = 4x – 5 =4 x 15 – 5 = 55°

Also ∠Q + ∠R = 180°

55° + ∠R = 180°

∠R = 180°- 55° = 125°

∠Q = 55° ; ∠R = 125°