Question

6) What is the value of x in the figure shown below? (8x) 140° A. 130 C. B. 22.5 D.. 5

Answer 1

Notice that the angles of 140° and (8x)° are supplementary angles, since they make an angle of 180°. Then:

$8x+140=180$

Solve for x:

$\begin{gathered} \Rightarrow8x=180-140 \\ \Rightarrow8x=40 \\ \Rightarrow x=\frac{40}{8} \\ \Rightarrow x=5 \end{gathered}$

Therefore, the value of x is:

$5$