Answer:
The measure of x is 80°.
Step-by-step explanation:
When a transversal cuts two or more lines, the angles that are in the same relative position are called corresponding angles. The matching angles are equivalent when the lines are parallel.
∠ CBD = ∠ ABF (corresponding angles)
∠ BFE = x°
And ∠ BFE + ∠HFG = 180 (linear pair)
x + 100° = 180°
x = 180° - 100⁰
x = 80°
So, The value of x is 80⁰
