Question

∠DEF and ∠ABC are supplementary angles and ∠DEF is four times as large as ∠ABC. Determine the measure of each angle. Students must show all work step by step to receive full credit for the problem.

Answer 1

let angle abc = x
therefore, angle def = 4x
since the two are supplementary
x + 4x = 180
5x = 180
x = 36 (∠abc)
4x = 144 (∠def)