Question

If mZFCB = 65°, then what is mZNCE? B D C с E At G N H K M L I J

Answer 1

We have the measure of FCB, that is 65 degrees.

We have to find the measure of NCE.

We see that FCB and NCE are supplementary, so they add 180 degrees between the two.

We can write this as:

$\begin{gathered} \text{mFCB}+\text{mNCE}=180 \\ 65+\text{mNCE}=180 \\ \text{mNCE}=180-65=115 \end{gathered}$

The measure of NCE is 115 degrees.