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°.
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°
1 answer