Verified Answer :

a = 36, b = 118, c = 62


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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.

\(a^{\circ}=36^{\circ}\)

The value of a is 36.

The sum of two interior angle is equal to the exterior angle of third vertex.

\(77+c=139\)

\(c=139-77\)

\(c=62\)

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.

\(b+c=180^{\circ}\)

\(b+62^{\circ}=180^{\circ}\)

\(b=180^{\circ}-62^{\circ}\)

\(b=118^{\circ}\)

The value of b is 118.

Therefore option 4 is correct.