Question

(a) an angle measures 60°. what is the measure of its complement? (b) an angle measures 68°. what is the measure of its supplement? measure of the complement: measure of the supplement:

Explanation:

Part (a)

Step1: Recall the definition of complementary angles

Complementary angles add up to \(90^{\circ}\). Let the complement of the \(60^{\circ}\) angle be \(x\). Then \(x + 60^{\circ}=90^{\circ}\).

Step2: Solve for \(x\)

Subtract \(60^{\circ}\) from both sides of the equation: \(x=90^{\circ}-60^{\circ}\).

Part (b)

Step1: Recall the definition of supplementary angles

Supplementary angles add up to \(180^{\circ}\). Let the supplement of the \(68^{\circ}\) angle be \(y\). Then \(y + 68^{\circ}=180^{\circ}\).

Step2: Solve for \(y\)

Subtract \(68^{\circ}\) from both sides of the equation: \(y = 180^{\circ}-68^{\circ}\).

Answer:

measure of the complement: \(30^{\circ}\)
measure of the supplement: \(112^{\circ}\)