Question

In a parallelogram ABCD, if ∠A= (3x + 12)°, ∠B = (2x - 32)°, then find the measure of ∠C *​

Answer 1

Answer:

A=3x+12

∠B=2x−32

Now sum of adjacent angles of a parallelogram is 180.

⇒3x+12+2x−32=180

⇒5x−20=180

⇒5x=200

⇒x=40

∠A=3(40)+12=132

∠B=2(40)−32=48

Now opposite angles in a parallelogram are equal

⇒∠A=∠C and ∠B=∠D

∴∠C=132 and ∠D=48.