Question

(a) an angle measures 52°. what is the measure of its complement?
(b) an angle measures 40°. what is the measure of its supplement?

Explanation:

Part (a)

Step1: Recall complement formula

Complementary angles sum to \(90^\circ\). Let the complement be \(x\). So, \(52^\circ + x = 90^\circ\).

Step2: Solve for \(x\)

\(x = 90^\circ - 52^\circ = 38^\circ\).

Step1: Recall supplement formula

Supplementary angles sum to \(180^\circ\). Let the supplement be \(y\). So, \(40^\circ + y = 180^\circ\).

Step2: Solve for \(y\)

\(y = 180^\circ - 40^\circ = 140^\circ\).

Answer:

\(38^\circ\)

Part (b)