Question

Solve for x
and give reasons for your answer

Answer 1

x = 80°

Explanation:

∠CBD = ∠ABF

= 100°

(Vertically opposite angles are equal and AD and EH are parallel with CG cutting across both lines)

∠x = 180°-100°

= 80°

(∠ABF and ∠x are consecutive interior angles as they are within two parallel lines so they add up to 180°)

Answer 2

80°

Explanation:

alternate angles are equal

angles in a straight line add upto 180°

therefore angle ABC =80°

But it is alternate to the one at x.