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?
(?)° + 2x° = ?
(2x + 3)° + 2x° = 90°
Simplify:
2x + 3 + 2x = 90
4x + 3 = 90
Now, solve for x:
4x = 87
x = 21.75
Now, substitute x back into the angle measures:
(2(21.75) + 3)° = 47.5°
2(21.75)° = 43.5°
Therefore, the equation for the angle measures is:
47.5° + 43.5° = 90°