Question

The measure of DCG is 145°.

What is mDCE?

90°
100°
180°
190°

Answer 1

100

Explanation:

20+25=45

145-45=100

Answer 2

B.
`100^(\circ)`

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:

`m\angle DCG=m\angle DCE+20^(\circ)+25^(\circ)`

`145^(\circ)=m\angle DCE+20^(\circ)+25^(\circ)`

`145^(\circ)=m\angle DCE+45^(\circ)`

`145^(\circ)-45^(\circ)=m\angle DCE+45^(\circ)-45^(\circ)`

`100^(\circ)=m\angle DCE`

Therefore, the measure of angle DCE is 100 degrees.