Answer:
B. [tex]100^{\circ}[/tex]
Step-by-step explanation:
We have been given that measure of angle DCG is 145 degrees. We are asked to find measure of angle DCE.
We can set an equation as:
[tex]m\angle DCG=m\angle DCE+20^{\circ}+25^{\circ}[/tex]
[tex]145^{\circ}=m\angle DCE+20^{\circ}+25^{\circ}[/tex]
[tex]145^{\circ}=m\angle DCE+45^{\circ}[/tex]
[tex]145^{\circ}-45^{\circ}=m\angle DCE+45^{\circ}-45^{\circ}[/tex]
[tex]100^{\circ}=m\angle DCE[/tex]
Therefore, the measure of angle DCE is 100 degrees.
