Question

In parallelogram ABCD, the measure of angle B = (9y − 30) and the measure of angle C = (3y + 6). Find the measure of angle A.

Answer 1

Answer:

57°

Step-by-step explanation:

In a parallelogram, the adjacent angles are supplementary.

Angle B and Angle C are adjacent angles.

=> Angle B + Angle C = 180°

=> 9y - 30 + 3y + 6 = 180°

=> 12y - 24 = 180°

=> 12y = 180 + 24

=> 12y = 204

=> y = 204/12

=> y = 17

Therefore, Angle C = 3(17) + 6 = 51 + 6 = 57°

In a parallelogram, the opposite angles are equal.

Angle A and Angle C are opposite angles.

Hence, Angle A = Angle C = 57°