A figure displays two adjacent complementary angles with measures ( x + 3 ) and ( 4x - 2 ). What is the equation of the angles measures?

( x + 3 ) + ( _ ) = ___

1 answer

Complementary angles are two angles whose measures add up to \(90^\circ\).

Given the measures of the two angles are \( (x + 3) \) and \( (4x - 2) \), we can set up the equation as follows:

\[ (x + 3) + (4x - 2) = 90 \]

Now we need to fill in the blanks as per your request.

The equation becomes:

\[ (x + 3) + (4x - 2) = 90 \]

So to fill in the blanks:

\[ ( x + 3 ) + ( 4x - 2 ) = 90 \]

This is the equation representing the sum of the measures of the two complementary angles.