Question

In a parallelogram PQRS ,∠Q=(6x+6)⁰ and ∠R=(4x-36)⁰ Find the value of x.

Answer 1

Answer:

x = 21

Step-by-step explanation:

In parallelogram PQRS,

∠Q = (6x + 6)°

∠R = (4x - 36)°

∠Q and ∠R are adjacent angles .

Adjacent angles of parallelogram are supplementary.

∠Q + ∠R = 180°

(6x + 6)° + (4x - 36)° = 180°

6x + 6 + 4x - 36 = 180

10x = 180 + 36 - 6

10x = 210

x= 21

∠Q = (6×21 + 6) = 126 + 6 = 132°

∠R = (4×21 - 36) = 84 - 36 = 48°