Question

the measure of \\( \angle dcg \\) is \\( 145 ^ { \circ } \\). what is \\( m \angle dce \\)?

Explanation:

Step1: Analyze the relationship between angles

We know that \(m\angle DCG=m\angle DCE + m\angle ECF+m\angle FCG\) (angle - addition postulate).

Step2: Substitute the known values

Given \(m\angle DCG = 145^{\circ}\), \(m\angle ECF = 20^{\circ}\), \(m\angle FCG=25^{\circ}\). Let \(m\angle DCE=x\). Then \(x + 20^{\circ}+25^{\circ}=145^{\circ}\).

Step3: Solve for \(x\)

$$
LATEXBLOCK0
$$

Answer:

100°