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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°.

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Answer:

     The sum of m∠Q and m∠S must be equal 90°

Step-by-step explanation:

The measure of right angle is 90°

The sum of measures of angles in any triangle is 180°

so:

m∠Q + m∠S + ∠R = 180°

m∠Q + m∠S + 90° = 180°

m∠Q + m∠S = 180° - 90°

m∠Q + m∠S = 90°

In right triangle QRS with ∠R = 90° , the sum of m ∠Q and m ∠S must be equal to 90°.

What is right triangle?

"Right triangle is defined as the two dimensional figure with three sides and three vertices and angles enclosed in it, with one of the interior angle is of 90°."

Condition used

In ΔQRS

∠Q +  ∠R + ∠S = 180°

According to the question,

Given,

In right triangle ΔQRS,

∠R = 90°

Substitute the value in the above condition of triangle we get,

  ∠Q + 90° + ∠S =180°

⇒ ∠Q + ∠S =180°- 90°

⇒∠Q + ∠S = 90°

Hence, in right  triangle QRS with ∠R = 90° , the sum of m ∠Q and m ∠S must be equal to 90°.

Learn more about right triangle here

https://brainly.com/question/6322314

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