Question

AB and CF are parallel find x
Show CLEARLY how you got your answers with reasons

Answer 1

x = 152°

Explanation:

∠ BDE = ∠ ABD = 76° ( alternate angles )

Since DE = BE then Δ BDE is isosceles with base angles congruent

∠ DBE = ∠ BDE = 76°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle, then

x = 76° + 76° = 152°