Question

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Question:

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

Answer 1

∠ Q = 115°

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°