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

Answer 1

Since the angles are complementary, their measures add up to 90 degrees. So, we can set up an equation:

(2x+3) + 2x = 90

Combine like terms:
4x + 3 = 90

Subtract 3 from both sides:
4x = 87

Divide both sides by 4:
x = 21.75

Therefore, the equation for the angle measures is:

(2x+3) degrees = (2(21.75)+3) degrees = 45.5 degrees

2x degrees = 2(21.75) degrees = 43.5 degrees