Answer:
The measure of PQR is 133 degrees
Step-by-step explanation:
Step 1: Make an expression
Since these angles are supplementary, that means that they add up to 180 degrees.
3x - 5 + x + 1 = 180
Step 2: Combine like terms
3x - 5 + x + 1 = 180
4x - 4 = 180
Step 3: Add 4 to both sides
4x - 4 + 4 = 180 + 4
4x = 184
Step 4: Divide both sides by 4
4x / 4 = 184 / 4
x = 46
Step 5: Find the measure of PQR
PQR = 3x - 5
PQR = 3(46) - 5
PQR = 138 - 5
PQR = 133
Answer: The measure of PQR is 133 degrees
