Question

fine the value of X if angles ABC is Supplementary to CBD

Answer 1

Two angles are called supplementary when their measures add up to 180 degrees..

Therefore, we have,

$<\text{ABC}+<\text{CBD}=180$

Substituting the values we get,

$\begin{gathered} 4x-19+39=180 \\ 4x+20=180 \\ 4x=180-20=160 \\ 4x=160 \\ x=\frac{160}{4}=40 \end{gathered}$

Thus, the required value of x = 40