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=
°
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To find the measure of ∠SRT, we need to set up an equation using the fact that two supplementary angles add up to 180 degrees.
m∠QRS + m∠SRT = 180
Plugging in the given measures:
(x+16) + (3x) = 180
Combining like terms:
4x + 16 = 180
Subtracting 16 from both sides:
4x = 164
Dividing both sides by 4:
x = 41
Plugging x back into the equation for the measure of ∠SRT:
m∠SRT = 3x = 3(41) = 123
Therefore, the measure of ∠SRT is 123 degrees.