Question
Two angles are supplementary they have the following measures m<QRS=(x+16) and m<SRT=(3x) what is the measure of <SRT
Answers
GPT 3.5
If two angles are supplementary, their measures add up to 180 degrees.
So, we have the equation:
m<QRS + m<SRT = 180
Substituting the given measures, we get:
(x + 16) + (3x) = 180
Combining like terms, we have:
4x + 16 = 180
Subtracting 16 from both sides, we get:
4x = 164
Dividing both sides by 4, we get:
x = 41
Therefore, the measure of <SRT is:
m<SRT = 3x = 3(41) = 123 degrees
So, we have the equation:
m<QRS + m<SRT = 180
Substituting the given measures, we get:
(x + 16) + (3x) = 180
Combining like terms, we have:
4x + 16 = 180
Subtracting 16 from both sides, we get:
4x = 164
Dividing both sides by 4, we get:
x = 41
Therefore, the measure of <SRT is:
m<SRT = 3x = 3(41) = 123 degrees