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4. if the measure of an angle is 13°, find the measure of its supplemen…

Question

  1. if the measure of an angle is 13°, find the measure of its supplement.

Explanation:

Step1: Recall supplement - angle definition

Supplementary angles add up to 180°. Let the angle be \(x = 13^{\circ}\), and its supplement be \(y\). Then \(x + y=180^{\circ}\).

Step2: Solve for the supplement

We can rewrite the equation as \(y = 180^{\circ}-x\). Substitute \(x = 13^{\circ}\) into the equation: \(y=180 - 13\).
\(y = 167^{\circ}\)

Answer:

\(167^{\circ}\)