Question

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 point)
(

+ 2x°
=
°

1 answer

Two angles are complementary if the sum of their measures equals 90 degrees. Given the measures of the angles as \( (2x + 3)^\circ \) and \( 2x^\circ \), we can set up the equation:

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

Now we can simplify and write the complete equation for the angle measures:

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