Two angles are supplementary. They have the following measures: m<QRS = (x + 16) and m<SRT = (3x) . What is the measure of <SRT

Question

Two angles are supplementary. They have the following measures: m<QRS = (x + 16) and m<SRT = (3x) . What is the measure of <SRT

Answer 1

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

So we have 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 by substituting x back into the expression:

m<SRT = 3x = 3(41) = 123

So the measure of <SRT is 123 degrees.