Question

Among two supplementary angles the measure of smaller angles is 550 less than the measure of the larger. Find their measure.

Answer 1

it should be 55° not 550
so
let larger be x
smaller = x - 55
we know that supplementary angles are of 180°
so
$x + x - 55 = 180 \\ 2x - 55 = 180 \\ 2x = 180 + 55 \\ 2x = 235 \\ x = 235 \div 2 \\ x = 117.5$
smaller =
$117.5 - 55 = 62.5$
hope it helps