Question

The measures of two adjacent angles of a parallelogram are in the ratio 3:2. Find the measure of each of the angles of the parallelogram. State the properties used.

Answer 1

Step-by-step explanation:

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Hey bro, here we go:

Let two adjacent angles A and B of ∥gm ABCD be 3x and 2x respectively.

Since the adjacent angles of a parallelogram are supplementary.

Angle A + Angle B = 180°

= 3x + 2x = 180°

= 5x = 180°

= x 180°/ 5 = 36°

Therefore, Angle 3 × 36° = 72°

since the opposite angles are equal in a parallelogram, therefore angle C = angle A = 180° and

angle D = angle B = 72°

Hence, angle A = 180°, angle B = 72°, angle C = 108° and angle D = 72°.