Question

What is the measure of Zx?

Angles are not necessarily drawn to scale.
B
D
F
42°
109⁰
A
20
C
E
»

Answer 1

x = 29°

Explanation:

Using angle sum property of triangle, we need to find ∠BCA.

In ΔBCA,

42° + 109° + ∠BCA = 180°

151 + ∠BCA = 180

∠BCA = 180 - 151

∠BCA = 29°

BC and DE are parallel lines and CF is transversal.

x = ∠BCA {Alternate interior angles are equal}

`\sf \boxed{x = 29^\circ}`