Question

triangle qrs is a right triangle with the right angle at vertex r. the sum of m∠q and m∠s must be equal to 45°. greater than 45° and less than 90°. equal to 90°. greater than 90° and less than 180°.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of any triangle is 180°. In right - triangle QRS with ∠R = 90°, let ∠Q=x and ∠S = y. Then x + y+∠R=180°.

Step2: Substitute the value of ∠R

Since ∠R = 90°, we have x + y+90°=180°.

Step3: Solve for x + y

Subtract 90° from both sides of the equation: x + y=180° - 90°=90°.

Answer:

C. equal to 90°