Question

the measure of an angle is 17°. what is the measure of its complementary angle?

Explanation:

Step1: Recall complementary - angle definition

Complementary angles add up to 90°. Let the given angle be \(a = 17^{\circ}\) and the complementary angle be \(x\). Then \(a + x=90^{\circ}\).

Step2: Solve for the complementary angle

We can rewrite the equation as \(x = 90^{\circ}-a\). Substitute \(a = 17^{\circ}\) into the equation: \(x=90 - 17\).
\(x = 73^{\circ}\)

Answer:

73