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?

(?)° + 2x° = ?°

1 answer

If the two angles are complementary, it means the sum of their measures equals 90 degrees. The angles are given as (2x + 3)° and 2x°.

To express their relationship as an equation, we can set up the following equation:

\[ (2x + 3) + 2x = 90 \]

Combining like terms, we get:

\[ 4x + 3 = 90 \]

So the equation for the angle measures is:

\[ (2x + 3)° + 2x° = 90° \]