Question

parallelogram ABCD, if ∠ A = (2x + 35)° and ∠ B = (3x – 5)°, find the value of x and the measure of each angle of the parallelogram.​

Answer 1

Answer:

x = 32, ∠ A = ∠ C = 89 and ∠ B = ∠ D = 91

Answer 2

Answer:

2x + 35 + 3x - 5 = 180

5x + 30 = 180

5x = 180 - 30

5x = 150

x = 150/5 = 30°

Angle A = 2x + 35 = 2 *30 + 35 = 60 + 35 = 95°

Angle C = 95° ( opposite angle)

Angle B = 3x - 5 = 3 * 30 - 5 = 90 - 5 = 85°

Angle D = 85° ( opposite angle)