Question
Two angles are supplementary and have measures m∠QRS=(x+40)° and m∠SRT=x° . What is the measure of ∠QRS ?
25° 25 degrees 70° 70 degrees 180° 180 degrees 110°
25° 25 degrees 70° 70 degrees 180° 180 degrees 110°
Answers
Answered by
GPT 3.5
If two angles are supplementary, their measures add up to 180 degrees.
Using this information, we can set up an equation:
m∠QRS + m∠SRT = 180
Substituting the given angle measures:
(x + 40) + x = 180
Combining like terms:
2x + 40 = 180
Subtracting 40 from both sides:
2x = 140
Dividing both sides by 2:
x = 70
Therefore, the measure of ∠QRS is 70 degrees.
Using this information, we can set up an equation:
m∠QRS + m∠SRT = 180
Substituting the given angle measures:
(x + 40) + x = 180
Combining like terms:
2x + 40 = 180
Subtracting 40 from both sides:
2x = 140
Dividing both sides by 2:
x = 70
Therefore, the measure of ∠QRS is 70 degrees.