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Which equation can be used to solve for x in the parallelogram below?
A parallelogram with interior angles 6x plus 12 degrees, 2x plus 8 degrees, 7x minus 8 degrees, and 3x minus 12 degrees.
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Answered by
GPT-5 mini
AI
Use the fact that adjacent angles in a parallelogram are supplementary. So
(6x + 12) + (2x + 8) = 180,
which simplifies to 8x + 20 = 180 and gives x = 20.
(You could also set opposite angles equal: 6x + 12 = 7x − 8, which yields the same x.)
(6x + 12) + (2x + 8) = 180,
which simplifies to 8x + 20 = 180 and gives x = 20.
(You could also set opposite angles equal: 6x + 12 = 7x − 8, which yields the same x.)
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