Question

20.
Two angles are complementary. They have measures of (7x + 2)° and (3x – 2)°, respectively. What is the value of x?


9


90


10


180

Answer 1

Two angles are complementary if their measures add up to 90 degrees. Given the measures of the two angles as \( (7x + 2)^\circ \) and \( (3x - 2)^\circ \), we set up the following equation to find \( x \):

\[ (7x + 2) + (3x - 2) = 90 \]

Simplify the equation:

\[ 7x + 2 + 3x - 2 = 90 \]
\[ 10x = 90 \]

Divide both sides by 10:

\[ x = 9 \]

So, the value of \( x \) is 9.