Parallelogram Verification: Analysis of Quadrilateral with 100° and 80° Angles

Question

Given the quadrilateral ABCD where:

A=100° ∢A=100°

y C=80° ∢C=80°

AAABBBDDDCCC100°80°

Is it possible to conclude that this quadrilateral is a parallelogram?

Video Solution

Step-by-Step Solution

A parallelogram is a quadrilateral whose two pairs of sides are parallel.

Since we know that angles A and C add up to 180 degrees, we know that AB is parallel to CD.

We have no way to prove if AC is parallel to BD since we have no data regarding angle B or angle D.

Therefore, the quadrilateral is not a parallelogram.

Answer

No