Answer:
Therefore,
By<u> same-side interior angle theorem ,</u>angle NQL and <u> angle QLM </u> are<u> supplementary. </u>
Step-by-step explanation:
Given:
LMNQ is a Parallelogram
∠QLM = 100°
To Find:
∠NQL = ?
Solution:
Same - Side - Interior Angle Theorem
:
The same-side interior angle theorem states that when two lines that are parallel are intersected by a transversal line,
Then the same-side interior angles that are formed are supplementary, or add up to 180 degrees.
LMNQ is a Parallelogram ...........Given:
∴ LM || QN ..............Opposite Sides of Parallelogram are Parallel
By<u> </u><u>same-side interior angle theorem</u><u> ,</u>angle NQL and <u> </u><u>angle QLM</u><u> </u> are<u> </u><u>supplementary. </u>
∴
Substituting ∠QLM = 100° we get
Therefore,