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

Question

asked Jan 25, 2023 217k views

1 Answer

Muratgu · Answer 1 · 2023-01-29T03:00:30+0000

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: