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

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?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

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?

2

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.

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?

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Parallelogram for Ninth Grade questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations