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:

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