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

Estelle drew two parallel lines pq and rs Intersected by a transversal kL as shown-example-1
User Ntjess
by
8.9k points

1 Answer

6 votes

Answer:

The correct option is 1.

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.

User Wolf Elkan
by
8.8k points
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