What are alternate angles of the given parallelogram ?
We have hundreds of course questions with personalized recommendations + Account 100% premium
What are alternate angles of the given parallelogram ?
To solve the question, we must first remember that a parallelogram has two pairs of opposite sides that are parallel and equal.
That is, the top line is parallel to the bottom one.
From this, it is easy to identify that angle X is actually an alternate angle of angle δ, since both are on different sides of parallel straight lines.
Does the drawing show an adjacent angle?
Alternate angles are formed when a transversal crosses two parallel lines. In this parallelogram, angles and are on opposite sides of the transversal and between the parallel lines.
Angles and are consecutive interior angles, not alternate. They're on the same side of the transversal, so they add up to 180° instead of being equal.
The transversal is the diagonal line that crosses both parallel sides of the parallelogram. It creates the alternate angle pairs we're looking for.
Yes! When a transversal crosses parallel lines, alternate interior angles are always equal. This is a fundamental property of parallel lines.
Look for the parallel sides first - top and bottom are parallel, left and right are parallel. Then find where a line crosses both parallel sides to identify alternate angle pairs.
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