Question

the measures of two adjacent angles of parallelogram are in the ratio 32 . find the measure of each of the angle of the parallelogram​

Answer 1

Answer:

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Answer 2

Correct Question :

The measures of two adjacent angles of parallelogram are in the ratio 3 : 2 . Find the measure of each of the angle of the parallelogram ?

Answer :

Step-by-step explanation :

Let the parallelogram be ABCD, and let given the adjacent angles be ∠A and ∠B.

∴ ∠A + ∠B = 180° ........adjacent angles are supplementary

Let the given, ratio angles be 3x and 2x

» 3x + 2x = 180

» 5x = 180

» x = 180 / 5

» x = 36

Now, the angles are :

» 3x = 3 * 36

» 108°

» 2x = 2 * 36

» 72°

Therefore, the angles are

∠A = ∠C = 108° .. opposite angles

∠B = ∠D = 72° .. opposite angles

Now, Verification

» 108 + 72 + 108 + 72 = 360

» 180 + 180 = 360

» 360 = 360

L.H.S = R.H.S

Hence, Verified !