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=(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°.