Two angles are supplementary and have measures m/QRS = (x +40) ° and m/SRT = x°. What is the measure of

Question

ZQRS? (1 point)
O 110°
O 180°
25°
70°

Answer 1

Since two angles are supplementary, their measures add up to 180°.
The measure of angle QRS is given as (x + 40)°, and the measure of angle SRT is given as x°.
Therefore, we can write the equation: (x + 40)° + x° = 180°.
Combining like terms, we get: 2x + 40° = 180°.
Subtracting 40° from both sides, we get: 2x = 140°.
Dividing both sides by 2, we get: x = 70°.
The measure of angle QRS is then (70 + 40)° = 110°.
Therefore, the measure of angle ZQRS is 180° - 110° = 70°.
So, the answer is 70°.