Question

The sum of two vertically opposite angles is 166°. 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°

⇒ 2x = 166°

⇒ x = `166^circ/2` = 83°

So, the measure of each angle is 83°.