A figure shows two complementary angles with measures (2x + 3)° and 2x°. if the angles are complementary, what is the equation for the angle measures?

Answer 1

Since the two angles are complementary, their measures add up to 90°.

Therefore, the equation for the angle measures is:

(2x + 3)° + 2x° = 90°

Combining like terms, we get:

4x + 3 = 90

Now, we solve for x:

4x = 87
x = 21.75

Therefore, the measures of the two angles are:

(2(21.75) + 3)° = 46.5°
2(21.75)° = 43.5°

So, the two angles are 46.5° and 43.5°.