Parallelogram Proof: Can Equal 115° Angles Determine a Quadrilateral's Type?

Question

Given the quadrilateral ABCD where:

A=115° ∢A=115°

y D=115° ∢D=115°

AAABBBDDDCCC115°115°

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

Video Solution

Step-by-Step Solution

Given that a parallelogram is a quadrilateral whose two pairs of sides are parallel, and in the figure only two angles are given to us.

We do not have enough data to determine and prove whether angles C and B are equal to each other.

Therefore, the quadrilateral is not a parallelogram.

Answer

No