Question

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Answer 1

Answer:- a) Sum of consecutive interior angles on the same side of the transversal is 180°

Explanation:- When a transversal intersects two lines, the two lines are parallel if and only if interior angles on the same side of the transversal and exterior angles on the same side of the transversal are supplementary (sum to 180°).

Answer 2

Answer:

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Consecutive Interior Angles Theorem

• Consecutive Interior Angles
• When two lines are cut by a transversal, the pair of angles on one side of the transversal and inside the two lines are called the consecutive interior angles.

In the figure, the angles 3 and 5 are consecutive interior angles.

Also the angles 4 and 6 are consecutive interior angles.

Consecutive Interior Angles Theorem

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary.

Proof:

Given: k∥l , t is a transversal

Prove: ∠3 and ∠5 are supplementary and ∠4 and ∠6 are supplementary.

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