# Two angles are supplementary. The measure of the first angle is 36 degrees less than three times the second angle. What are the two measures?

Jan 23, 2016

$\angle 1 = {126}^{\circ}$

$\angle 2 = {54}^{\circ}$

#### Explanation:

supplementary $= {180}^{\circ}$

$\angle 1 = 3 x - {36}^{\circ}$

$\angle 2 = x$

$3 x - {36}^{\circ} + x = {180}^{\circ}$

$3 x + x = {180}^{\circ} + {36}^{\circ}$

$4 x = {216}^{\circ}$

$\frac{\cancel{4} x}{\cancel{4}} = {216}^{\circ} / 4$

$x = {54}^{\circ}$

$3 \left({54}^{\circ}\right) - {36}^{\circ}$

${152}^{\circ} - {36}^{\circ}$

${126}^{\circ}$

${126}^{\circ} + {54}^{\circ} = {180}^{\circ}$