Question 326755
<font face="Garamond" size="+2">


Let *[tex \Large x] represent the measure of the larger of the two angles.  Since the two angles are supplementary so the sum of their measures is *[tex \Large 180^\circ], *[tex \Large 180\ -\ x] must represent the measure of the smaller angle.


*[tex \Large \frac{2}{5}] of the larger is 6 less than the smaller:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{2}{5}x\ =\ (180\ -\ x)\ -\ 6]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2x\ =\ 870\ -\ 5x]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 7x\ =\ 870]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x =\ 124\frac{2}{7}^\circ]


John
*[tex \LARGE e^{i\pi} + 1 = 0]
</font>