Question

2. Lines r and s are parallel and lines I and m are perpendicular. Find the measure of angle 5, if m

Answer 1

Line l and m intersect at a right angle.

`m\angle2=120^(\circ)`

Therefore,

`m\angle5+m\angle3=90^(\circ)`
`\begin{gathered} m\angle3=180-120=60^(\circ)(supplementary\text{ angle)} \\ 60^(\circ)+m\angle5=90^(\circ) \\ m\angle5=90^(\circ)-60^(\circ) \\ m\angle5=30^(\circ) \end{gathered}`