two angles are supplementary: they haave the following measures m-angle/QES = (x + 16)° and m-angle/SRT = (3x)° what is the measure of anfle SRT?

1 answer

To find the measure of angle SRT, we can set up an equation since we know that two angles are supplementary, meaning they add up to 180°.

Therefore, the equation will be:
(x + 16)° + (3x)° = 180°

Combining like terms, we have:
4x + 16° = 180°

Next, we will solve for x:
Subtracting 16° from both sides, we get:
4x = 164°

Dividing both sides by 4, we have:
x = 41°

Now, we can find the measure of angle SRT by substituting x into (3x)°:
3x = 3(41°) = 123°

Therefore, the measure of angle SRT is 123°.