Parallelogram Investigation: Analyzing a Quadrilateral with 95° and 85° Angles

Question

Given the quadrilateral ABCD where:

D=95° ∢D=95°

y C=85° ∢C=85°

AAABBBDDDCCC95°85°

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.

In the figure, we are shown that the sum of angles C and D is 180 degrees but nothing is shared about the other angles.

Therefore, we cannot determine whether or not the sides are parallel to one other.

As a result, this quadrilateral is not a parallelogram.

Answer

No