alexandrakevelier
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Kari drew two parallel lines PQ and RS intersected by a transversal KL, as shown below:

Two parallel lines PQ and RS are drawn with KL as a transversal intersecting PQ at point M and RS at point N. Angle QMN is shown congruent to angle LNS.

Which theorem could Kari use to show the measure of angle QML is supplementary to the measure of angle SNK?

Alternate Exterior Angles Theorem
Alternate Interior Angles Theorem
Same-Side Interior Angles Theorem
Vertical Angles Theorem

Respuesta :

JeanaShupp

Answer: Same-Side Interior Angles Theorem

Step-by-step explanation:

  • Same-Side Interior Angles Theorem says that when two lines are parallel and a transversal intersects it , then the angles on the same interior side are supplementary.

We are given that Two parallel lines PQ and RS are drawn with KL as a transversal intersecting PQ at point M and RS at point N.

Angle QMN is shown congruent to angle LNS.

Also, angle QML and angle SNK are the angles lies on the same side of the transversal.

It means the measure of angle QML is supplementary to the measure of angle SNK  [ By Same-Side Interior Angles Theorem ]

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