Question

Find the values of a, b, and c.

Answer 1

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.

Answer 2

a = 36, b = 118, c = 62

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