Answer:
DCE = 100°.
Explanation:
Given : measure of DCG is 145°.
To find : what is m∠ DCE.
Solution : We have given angle DCG = 145°. and ∠ FCE = 20° , ∠ GCF = 25°.
∠ DCG = ∠ FCE + ∠ GCF + ∠ DCE.
Plug the value of ∠ DCG and ∠ FCE , ∠ GCF
145 = 20 + 25 + ∠ DCE.
145 = 45 +∠ DCE.
On subtracting both sides by 45.
145 -45 = ∠ DCE.
100 = ∠ DCE.
Therefore, DCE = 100°.