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)

Question

m∠SRT=
°

Answer 1

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°.

Answer 2

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