Question

Estelle drew two parallel lines pq and rs Intersected by a transversal kL as shown below

Answer 1

Answer:

The correct option is 1.

Step-by-step explanation:

Alternate exterior angle theorem: If a transversal line intersect two parallel lines, then the alternate exterior angles are congruent or equal.

Alternate interior angle theorem: If a transversal line intersect two parallel lines, then the alternate interior angles are congruent or equal.

Same-side interior angle theorem: If a transversal line intersect two parallel lines, then the interior angles on the same sides are supplementary angles.

Vertical angle theorem: If two lines intersect each other, then vertical opposite angles are same.

From the given graph it is clear that the angle KMQ and angle RNL are alternate exterior angles.

$\angle KMQ=\angle RNL$                   (Alternate exterior angle theorem)

Therefore the correct option is 1.

Answer 2

PQ ║ RS

<KMQ = <RNL ...alternate exterior angles

Answer
A. Alternate Exterior Angles Theorem