Question

the measures of two angles in the ratio7:8 and they've are supplementary angles. are their measures in degree

Answer 1

$let \: the \: angles \: are \: 7x \: and \: 8x \\ since \: the \: angles \: are \: supplementary \: so \\ 7x + 8x = 180 \\ 15x = 180 \\ x = \frac{180}{15 } \\ x = 12 \\ hence \: the \: angles \: are \: 7 \times 12 = 84 \: and \: 8 \times 12 = 96$