Question

In the figure below, m<3=112 find m<1 m<2 and m<4

Answer 1

The figure shows two lines that intersect to give 4 angles.

Recall that vertically opposite angles are equal. This means that

`\begin{gathered} m\angle1=m\angle3 \\ m\angle2=m\angle4 \end{gathered}`

If we have that

`m\angle3=112\degree`

then,

`m\angle1=112\degree`

Recall that the sum of angles at a point is 360°. This will mean that:

`m\angle1+m\angle2+m\angle3+m\angle4=360\degree`

Substituting the already calculated values, we have that: