boogaaoogaa9
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  • 12-01-2021
  • Mathematics
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mathstudent55
mathstudent55 mathstudent55
  • 12-01-2021

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

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