Question

The sum of two vertically opposite angles is ${166}^{\circ }$. Find each of the angles.

Answer 1

When two lines intersect, then vertically opposite angles so formed are equal. Let x be the measure of each vertically opposite angles,
Then, $x+x={166}^{\circ }\Rightarrow 2x={166}^{\circ }\Rightarrow x=\frac{{166}^{\circ }}{2}={83}^{\circ }$
So, the measure of each angle is ${83}^{\circ }$.