Applying the linear pair postulate, m<SQR = 74°.
What is the Linear pair Postulate?
According to the linear pair postulate, the equation below is holds true:
m<TQS + m<SQR = 180.
m<TQS = (3m + 1)°
m<SQR = (2m + 4)°
Substitute the values
(3m + 1) + (2m + 4) = 180
Solve for m
3m + 1 + 2m + 4 = 180
Add like terms
3m + 2m + 1 + 4 = 180
5m + 5 = 180
Subtract 5 from both sides of the equation
5m + 5 - 5 = 180 - 5
5m = 175
m = 35
m<SQR = (2m + 4)° = 2(35) + 4 = 74°.
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