Question

In a parallelogram ABCD if m ∠A = ( 3x – 12 )° and m ∠B = (2x – 32 )°

then find the value of x​

Answer 1

Answer:

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.

Answer 2

Answer:

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Step-by-step explanation:

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