Answer:
m<PQT = 56
Step-by-step explanation:
Angles PQS and SQT are shown to be congruent in the figure, so their measures are equal.
m<PQS = m<SQT
3x + 13 = 6x - 2
Subtract 6x from both sides.
-3x + 13 = -2
Subtract 13 from both sides.
-3x = -15
Divide both sides by -3.
x = 5
m<PQT = m<PQS + m<SQT
m<PQT = 3x + 13 + 6x - 2
m<PQT = 3(5) + 13 + 6(5) - 2
m<PQT = 15 + 13 + 30 - 2
m<PQT = 28 + 28
m<PQT = 56
