Question

In the given parallelogram, BELT,find the value of p,q,x,y

Answer 1

5. x = 10, y = 6

6. p = 60°, q = 120°, x = 60° , y = 30°

Explanation:

5.

2x = 20 ⇒ x = 10

5y + 5 = 35 ⇒ 5y = 30 ⇒ y = 6

6.

m∠T = x = 180° - 90° - 30° = 60°

m∠E=m∠T ⇒ y = 180° - 90° - 60° = 30°

m∠B = m∠L = q = 180° - m∠E = 180° - 60° = 120°

m∠B = 30° + p + y ⇒ p = 120° - 30° - 30° = 60°