Question

Two angles are supplementary and have measures m∠QRS=(x+40)° and m∠SRT=x° . What is the measure of ∠QRS ?(1 point) Responses 110° 110 degrees 180° 180 degrees 70° 70 degrees 25°

Answer 1

[AI-generated answer — Bot GPT 3.5]

The sum of two supplementary angles is 180°.

Let x be the measure of ∠SRT. Then the measure of ∠QRS is x+40°.

We can set up the equation:

(x+40°) + x = 180°

Simplifying the equation:

2x + 40° = 180°

Subtracting 40° from both sides:

2x = 140°

Dividing both sides by 2:

x = 70°

Therefore, the measure of ∠QRS is x+40°:

∠QRS = 70° + 40° = 110°

So, the answer is 110°.