Question

the angles in the diagram below are complementary. what is the value of x?

Explanation:

Step1: Recall complementary - angle definition

Complementary angles add up to 90°. So, we have the equation $x + 42=90$.

Step2: Solve for x

Subtract 42 from both sides of the equation: $x=90 - 42$.

Step3: Calculate the value of x

$x = 48$.

Answer:

48