# geometry

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<DEF and <ABC are supplementary angles and <DEF is seven times as large as <ABC. Determine the measures of each angle. Students must show all work step by step to receive full credit.

• geometry -

supplementary angles= 180 degrees, therefore divide 180 by 7.

• geometry -

ABC = X deg.
DEF = 7X deg.

x + 7x = 180 deg.
8X = 180,

X = ABC = 22.5 deg.

7X = DEF = 7 * 22.5 = 157.5 deg.

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