Given
Two parallel lines are given which is cut by a transversal line.
The angle 8 is given 59 degree.
Explanation
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.
[tex]\angle3+\angle8=180\degree[/tex]
Substitute the values,
[tex]\begin{gathered} \angle3+59\degree=180\degree \\ \angle3=180\degree-59\degree \\ \angle3=121\degree \end{gathered}[/tex]
The angle 3 is 121 degree .
And also angle 3 is vertically opposite to the angle is angle 1.
[tex]\angle1=\angle3=121\degree[/tex]
Answer
Hence the angle 1 is 121 degree and also angle 3 is 121 degree.
