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

Answer with explanation:

In Δ Q RS

∠R=90°

≡Angle sum property of triangle States that, The sum of three interior angles of triangle is 180°.

→m∠Q +m∠R+m∠S=180°

→m∠Q +90°+m∠S=180°⇒∵∠R=90°

→m∠Q +m∠S=180°-90°

→m∠Q +m∠S=90°

Option C :→ equal to 90°.

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