Question

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

Explanation:

Step1: Identify angle - sum relationship

$\angle DCE+\angle ECF+\angle FCG=\angle DCG$

Step2: Substitute known values

$\angle DCE + 20^{\circ}+25^{\circ}=145^{\circ}$

Step3: Solve for $\angle DCE$

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

Answer:

$100^{\circ}$