1 Answer

Plaxico · Answer 1 · 2023-12-15T16:07:38+0000

Given

Two parallel lines are given which is cut by a transversal line.

The angle 8 is given 59 degree.

To determine the angle 1 and angle 3.

The sum of the corresponding interior angles of the parallel line cut by transversal is 180 degree.

$\angle3+\angle8=180\degree$

Substitute the values,

$\begin{gathered} \angle3+59\degree=180\degree \\ \angle3=180\degree-59\degree \\ \angle3=121\degree \end{gathered}$

The angle 3 is 121 degree .

And also angle 3 is vertically opposite to the angle is angle 1.

$\angle1=\angle3=121\degree$

Answer

Hence the angle 1 is 121 degree and also angle 3 is 121 degree.