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?
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°.