Answer
x = 12$^{\circ}$,
Thus,
$\frac{25x}{2}$ = 150$^{\circ}$
$\frac{5x}{2}$ = 30$^{\circ}$
Work Step by Step
Given that $\frac{25x}{2}$ and $\frac{5x}{2}$ are supplementary.
Thus, $\frac{25x}{2}$ + $\frac{5x}{2}$ = 180$^{\circ}$
Since denominators are same (2), we can directly add the numerators ( 25x and 5x)
Thus $\frac{25x}{2}$ + $\frac{5x}{2}$ = $\frac{30x}{2}$ = 15x
Given 15x = 180$^{\circ}$
Thus x = $\frac{180}{15}$$^{\circ}$ = 12$^{\circ}$
Thus,
$\frac{25x}{2}$ = $\frac{25(12)}{2}$ = $\frac{300}{2}$ = 150$^{\circ}$
$\frac{5x}{2}$ = $\frac{5(12)}{2}$ = $\frac{60}{2}$ = 30$^{\circ}$
