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?

Question

(__)° + 2x° = __°

Answer 1

If the two angles are complementary, their measures add up to 90 degrees. Given the measures of the angles are \((2x + 3)^\circ\) and \(2x^\circ\), we can set up the equation as follows:

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

Now we can simplify and write the equation in the requested format:

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

So, the complete equation is:

\[ (2x + 3)° + 2x° = 90° \]