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

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?

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1

Understand the problem

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?

2

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.

3

Final Answer

No

Practice Quiz

Test your knowledge with interactive questions

Shown below is the quadrilateral ABCD.

AB = 15 and CD = 13.

BD = 6 and AC = 4

AAABBBDDDCCC134615

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

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