the measure of ∠dcg is 145°. what is m∠dce? 90° 100° 180° 190° 20° 25°

Explanation:

Step1: Identify angle - sum relationship

We know that $\angle DCG=\angle DCE+\angle ECF+\angle FCG$.

Step2: Substitute known values

Given $\angle DCG = 145^{\circ}$, $\angle ECF=20^{\circ}$, and $\angle FCG = 25^{\circ}$. So, $145^{\circ}=\angle DCE + 20^{\circ}+25^{\circ}$.

Step3: Solve for $\angle DCE$

$\angle DCE=145^{\circ}-(20^{\circ}+25^{\circ})=145^{\circ}-45^{\circ}=100^{\circ}$.

Answer:

$100^{\circ}$