Question

Using the segment addition postulate, which is true? What is the measure of AngleDCF? Three lines extend from point C. The space between line C D and C E is 75 degrees. The space between lines C E and C F is 54 degrees. The measure of AngleDCF is degrees.

Answer 1

129

Explanation:

If three lines CD, CE and CF extend from point C, then the following addition postulate is true;

<DCE + <ECF = <DCF

If the space between line C D and C E is 75 degrees, then <DCE = 75

If the space between lines C E and C F is 54, then <ECF = 54.

Substitute the given values into the expression above will give;

<DCF =<DCE + <ECF

<DCF = 75+54

<DCF = 129

Hence the measure of <DCF is 129°