Question

the sum of two vertically opoosite angles is 166 find each of the angles

Answer 1

Sum of interior angles of triangle is 180
A+B+C = 180
let A&B be virtually opp angles
C = 180-166 = 14
virtually opp angles are equal
therefore A = B = 166/2 = 83

Answer 2

Answer is both are equal and having magnitude 83° each.
Hope you get the answer.