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