Question

list the angle measures of △qrs in order from smallest to largest. assume that c is a positive number.

Explanation:

Step1: Recall angle - side relationship

In a triangle, the smallest angle is opposite the shortest side and the largest angle is opposite the longest side.

Step2: Identify side lengths

The side lengths of \(\triangle QRS\) are \(20c\) and \(43c\). Since \(20c<43c\), the angle opposite the side of length \(20c\) is smaller than the angle opposite the side of length \(43c\). The right - angle (\(90^{\circ}\)) is the largest angle. Let \(\angle Q\) be opposite the side of length \(20c\) and \(\angle S\) be opposite the side of length \(43c\).

Step3: Order the angles

The smallest angle is \(\angle Q\), the next is \(\angle S\), and the largest is \(\angle R = 90^{\circ}\).

Answer:

\(m\angle Q