Question

Find the value of m in the figure given below.

• A. ${18}^{\circ }$
• B. ${36}^{\circ }$
• C. ${180}^{\circ }$
• D. ${54}^{\circ }$

Answer 1

The correct option is A ${18}^{\circ }$

Angle '$a$' will measure $5m$, since vertically opposite angles are equal.​
Angles $2m,a,$ and $3m$ should add up to $180$ degrees, since they are on the same line.​
$2m+5m+3m={180}^{\circ }$
$10m={180}^{\circ }$
$m={18}^{\circ }$