Question

32ED22x14x42 + 4C СFGiven CDEF is a parallelogram, find x and z.

Answer 1

Te sum of angles FCD and EFC must be 180°:

$\begin{gathered} \measuredangle FCD+\measuredangle EFC=180 \\ (10x-23)+(5x-7)=180 \\ 15x-30=180 \\ 15x=180+30 \\ x=\frac{210}{15}=14 \end{gathered}$

So, the value of x = 14. The value of angle FCD:

$\measuredangle FCD=10\cdot14-23=117$

The angle of FCD is 117°.