Question

Find the value of the variable. 90 (k+ 10) 3K A. 3 8/4 B. 25 C. 20 D. 40

Answer 1

The sum of the three angles in the picture must be 180°, so:

$\begin{gathered} 90+(k+10)+3k=180 \\ 4k+100=180 \\ 4k=180-100 \\ k=\frac{80}{4}=20 \end{gathered}$

The variable k is 20.