Question

the measure of an angle is 78.8°. what is the measure of its complementary angle?

Explanation:

Step1: Recall complementary angle definition

Complementary angles sum to \(90^\circ\). Let the complementary angle be \(x\). So, \(78.8^\circ + x = 90^\circ\).

Step2: Solve for \(x\)

Subtract \(78.8^\circ\) from both sides: \(x = 90^\circ - 78.8^\circ\). Calculate the difference: \(x = 11.2^\circ\).

Answer:

\(11.2\)