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= °

Answer 1

Since the angles are supplementary, their measures must add up to 180 degrees.

Therefore, we have the equation: (x+16) + (3x) = 180.

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

Subtracting 16 from both sides, we have: 4x = 164.

Finally, dividing both sides by 4, we have: x = 41.

Plugging this value back into the second angle's measure, we have: m∠SRT = 3x = 3(41) = 123 degrees.

Thus, the measure of ∠SRT is 123 degrees.