liyahporter04 liyahporter04
  • 03-02-2020
  • Mathematics
contestada

HELP ME PLEASE !!!! BEGING YOU
Question:

In parallelogram QRST, find the measure of angle Q with the given information.

HELP ME PLEASE BEGING YOU Question In parallelogram QRST find the measure of angle Q with the given information class=

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jimrgrant1 jimrgrant1
  • 03-02-2020

Answer:

∠ Q = 115°

Step-by-step explanation:

Consecutive angles of a parallelogram are supplementary, thus

57x + 1 + 31x + 3 = 180, that is

88x + 4 = 180 ( subtract 4 from both sides )

88x = 176 ( divide both sides by 88 )

x = 2

Thus

∠ Q = 57x + 1 = 57(2) + 1 = 114 + 1 = 115°

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