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

##### 1 Answer
Mar 24, 2018

$< D E F = {91}^{0}$
$< F E G = {89}^{0}$

#### Explanation:

Supplementary angles add up to ${180}^{0}$

$\therefore 8 x + 9 + 9 x + 1 = 180$

now solve for $x$

$17 x + 10 = 180$

$17 x = 170$

$\therefore x = {10}^{0}$

$< D E F = 9 x + 1 = 9 \times 10 + 1 = {91}^{0}$

$< F E G = 8 x + 9 = 8 \times 10 + 9 = {89}^{0}$