Question 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)
In a supplementary angle pair, the sum of the measures of the two angles is 180 degrees.
Given that the measures of the angles are m∠QRS = (x+16)° and m∠SRT = (3x)°, we can set up the equation:
(x+16)° + (3x)° = 180°
Combining like terms:
4x + 16° = 180°
Subtracting 16° from both sides:
4x = 164°
Dividing both sides by 4:
x = 41°
Now we can find the measure of ∠SRT:
m∠SRT = (3x)°
= 3(41°)
= 123°
Therefore, the measure of ∠SRT is 123 degrees.