Posted by **Terri Search ** on Thursday, March 10, 2011 at 4:47pm.

<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 -
**kris**, Thursday, March 10, 2011 at 5:09pm
supplementary angles= 180 degrees, therefore divide 180 by 7.

- geometry -
**Henry**, Friday, March 11, 2011 at 11:18pm
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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