Question

select the correct answer. determine whether the supplement of an acute angle is, a an acute angle b a right angle c an obtuse angle d a straight angle

Explanation:

Step1: Recall the definition of supplementary angles

Two angles are supplementary if their sum is \(180^{\circ}\). Let the acute angle be \(\alpha\), where \(0^{\circ}<\alpha < 90^{\circ}\).

Step2: Find the measure of its supplement

Let the supplement of \(\alpha\) be \(\beta\). Then \(\alpha+\beta = 180^{\circ}\), so \(\beta=180^{\circ}-\alpha\).
Since \(0^{\circ}<\alpha < 90^{\circ}\), we have \(90^{\circ}<180^{\circ}-\alpha<180^{\circ}\).

Answer:

C. An Obtuse angle