Question

The measure of one angle of a parallelogram is 40 more than 3 times another. Find the measure of each angle.​

Answer 1

Explanation:

A parallelogram has two sets containing 2 equal angles each. The question has chosen one angle from each group (they are consecutive angles).

Let the smaller angle = x

Let the larger angle = 3x + 40

Together they add to 180 (that's a property of a parallelogram)

x + 3x + 40 = 180 Subtract 40 from each side. Combine the left

4x +40-40 = 180-40 Combine

4x = 140 Divide by 4

x = 140/4

x = 35

So the smaller angle is 35

The larger angle is 3*35 + 40

The larger angle is 145