Parallel Lines: Identifying Corresponding Angles α, β, γ, and δ

Question

The lines a and b are parallel.

What are the corresponding angles?

αααβββγγγδδδaaabbb

Video Solution

Solution Steps

00:00 What are the corresponding angles?
00:03 The lines are parallel according to the given data
00:10 And angles located on the same side of the intersecting line
00:13 And in the same position relative to the two intersecting lines
00:17 And this is the solution to the question

Step-by-Step Solution

Given that line a is parallel to line b, let us remind ourselves of the definition of corresponding angles between parallel lines:

Corresponding angles are angles located on the same side of the line that intersects the two parallels and are also situated at the same level with respect to the parallel line to which they are adjacent.

Corresponding angles are equal in size.

According to this definition α=β \alpha=\beta and as such they are the corresponding angles.

Answer

α,β \alpha,\beta

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Related Subjects

Angles In Parallel Lines Collateral angles Adjacent angles Vertically Opposite Angles Alternate angles Corresponding angles Sides, Vertices, and Angles

Question Types

Angles in Parallel Lines: Identifying and defining elements