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)
Since the angles are supplementary, they add up to 180 degrees.
Therefore, we can set up the following equation:
(x+16) + (3x) = 180
Combining like terms:
4x + 16 = 180
Subtracting 16 from both sides:
4x = 164
Dividing by 4:
x = 41
Plugging x back into ∠SRT = (3x):
∠SRT = (3 * 41) = 123
Therefore, the measure of ∠SRT is 123 degrees.