Help with angles?

Question

Answer 1

Corresponding Angles : If two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent.

From the figure, the angles 117^o and 2x + 15^o are congruent.

Therefore 117^o ≅ 2x + 15^o.

117^o = 2x + 15^o

Subtract 15^o from each side.

117^o - 15^o= 2x + 15^o - 15^o

102^o = 2x + 0

102^o = 2x

Divide each side by 2.

102^o / 2 = 2x / 2

51^o = x

The value of x  is 51^o.