Question

Two angles form a linear pair. the measure of one angles is 15° less than 2/3 the measure of the other angle. Write and solve an algebraic equation to find the measure of each angle. I need help! someone plz help me!

Answer 1

First angle = 117 degrees.

Second angle = 63 degrees.

Explanation:

If two angles are a linear pair, then their measures must add up to 180°. A straight line has a measure of 180°.

If we let one angle = x, then the other angle is (2/3)x - 15

Now we can form the following equation:

x + (2/3)x - 15 = 180

(5/3)x = 195

5x = 585

x = 117

Therefore, one angle is 117 degrees, and the other angle is (2/3 * 117) - 15 = 78 - 15 = 63 degrees.