Parallel Lines Geometry: Find α and β Using Given Angles 104° and 81°
Determine the value of the α-and-β- angles shown in the below diagram:
❤️ Continue Your Math Journey!
We have hundreds of course questions with personalized recommendations + Account 100% premium
Step-by-step video solution
Step-by-step written solution
Understand the problem
Determine the value of the α-and-β- angles shown in the below diagram:
Step-by-step solution
In the question, we can observe that there are two pairs of parallel lines, lines a and b.
When a line crosses two parallel lines, different angles are formed
Angles alpha and the given angle of 104 are on different sides of the transversal line, but both are in the interior region between the two parallel lines,
This means they are alternate angles, and alternate angles are equal.
Therefore,
Angle beta and the second given angle of 81 degrees are both on the same side of the transversal line, but each is in a different position relative to the parallel lines, one in the exterior region and one in the interior. Therefore, we can conclude that these are corresponding angles, and corresponding angles are equal.
Therefore,
Final Answer
Practice Quiz
If one of two corresponding angles is a right angle, then the other angle will also be a right angle.
🌟 Unlock Your Math Potential
Get unlimited access to all 18 Parallel and Perpendicular Lines 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