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

1 answer

If the angles are complementary, their measures add up to 90 degrees.

So, the equation for the angle measures would be:

(2x + 3) + 2x = 90

Simplifying this equation:

4x + 3 = 90

Subtracting 3 from both sides:

4x = 87

Dividing by 4:

x = 21.75

So, the angle measures would be:

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

Therefore, the two angles are 46.5 degrees and 43.5 degrees, and they are complementary.