Two angles are supplementary. They have the following measures: m∠QRS=(x+16)° and m∠SRT=(3x)° . What is the measure of ∠SRT ?(1 point)
m∠SRT=
°
Answers for the practice:
1. 3 and 90
2. 3 and 57
3. 85 and 180
4. 154
5. 123
I'll come back for the quick check answers
Because the two angles are supplementary, their measures add up to 180 degrees. So we can write the equation:
(x+16) + (3x) = 180
Combining the like terms on the left side, we get:
4x + 16 = 180
Subtracting 16 from both sides, we have:
4x = 164
Dividing both sides by 4, we find:
x = 41
Therefore, the measure of angle SRT is:
3x = 3(41) = 123 degrees
So, m∠SRT = 123°.