The measure of dcg is 145 what is m _ dce

DCE = 100°.

Step-by-step 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°.

1)  

2) DEFINITION

3) THEOREM

4) POSTULATE

Step-by-step explanation:

1) DIAGRAM  B) A visual tool representing mathematical ideas to be interpreted

A diagram is the depiction or representation of information using symbols

2) DEFINITION A) A formal statement declaring the meaning of a word

A definition is a statement that outlines the meaning of a word or a group of words or a diagram, or a symbol or sign

3) THEOREM C) A mathematical statement proven using postulates and definitions

A general statement of a proposition that is by itself not evident, but given proof by a combination of postulates

4) POSTULATE D) A mathematical statement taken as a fact

An assumed truth taken as the foundation for further reasoning