$angleDEF$ and $angleFEG$ are supplementary. $mangleDEF =(9x+ 1)$ and $mangleFEG=(8x+9)$ , how do you find the measures of both angles?

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Answer 1 · 2018-03-24T09:21:14

$< DEF=91^0$
$< FEG=89^0$

Supplementary angles add up to $180^0$

$:.8x+9+9x+1=180$

now solve for $x$

$17x+10=180$

$17x=170$

$:. x=10^0$

$< DEF=9x+1=9xx10+1=91^0$

$<FEG=8x+9=8xx10+9=89^0$

angleDEFangleDEF and angleFEGangleFEG are supplementary. mangleDEF =(9x+ 1)mangleDEF =(9x+ 1) and mangleFEG=(8x+9)mangleFEG=(8x+9), how do you find the measures of both angles?