Question

Delta Math: Angle Terminology with Equations

Answer 1

`\text{The two angles are supplementary, so their sum is~} 180^(\circ) \\\\m\angle A + m\angle B= 180^(\circ)\\\\\implies x+15+x-13 = 180\\\\\implies 2x +2 = 180\\\\\implies 2x = 180-2\\\\\implies 2x = 178\\\\\implies x = \frac{178}2\\\\\implies x = 89\\\\\text{Hence the measure of angle B is}~ \angle B = (89-13)^(\circ) = 76^(\circ)`