# geometry

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Two consecutive angles of a parallelogram have measures 4(x+5) and 2(3x+20) respectively. Find the measures of the angles

• geometry -

Any "two consecutive" angles of a parallelogram must be supplementary.

so

4(x+5) + 2(3x+20) = 180
4x + 20 + 6x + 40 = 180
10x = 120
x = 12

so sub that back into the originals to get
68º and 112º

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