Question

Segment CD is parallel to FG, LaTeX: m\angle FED=126m ∠ F E D = 126LaTeX: ^\circ∘, and LaTeX: m\angle FCE=42^\circm ∠ F C E = 42 ∘. What is the measure of LaTeX: \angle FCD?F C D ∠ ?

(A) 42 degrees
(B) 84 degrees
(C) 126 degrees
(D) 180 degrees

Answer 1

The measure of angle FCD is 126 degrees (C).

Step-by-step explanation:

In this question, we are given that segment CD is parallel to segment FG and we are also given the measures of angles FED and FCE. We need to find the measure of angle FCD.

Since CD is parallel to FG, we can use the property of corresponding angles. Angle FED and angle FCD are corresponding angles, so they have the same measure, which is 126 degrees.

Therefore, the measure of angle FCD is 126 degrees (C).