Answer:
The correct option is 4.
Step-by-step explanation:
If a transversal line intersect two parallel line, then the alternate interior angles are equal.
[tex]a^{\circ}=36^{\circ}[/tex]
The value of a is 36.
The sum of two interior angle is equal to the exterior angle of third vertex.
[tex]77+c=139[/tex]
[tex]c=139-77[/tex]
[tex]c=62[/tex]
The value of c is 62.
If two angles lie on a straight line, then they are supplementary angles and their sum is 180 degree.
[tex]b+c=180^{\circ}[/tex]
[tex]b+62^{\circ}=180^{\circ}[/tex]
[tex]b=180^{\circ}-62^{\circ}[/tex]
[tex]b=118^{\circ}[/tex]
The value of b is 118.
Therefore option 4 is correct.
