Parallel Lines and Angle Properties: Analyzing α, β, γ, and δ Relationships

a a is parallel to

b b

Determine which of the statements is correct.

αααβββγγγδδδaaabbb

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Step-by-step video solution

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00:00 Find the types of angles
00:04 Adjacent angles are as their name suggests - adjacent
00:20 Same-side angles are on the same side of the line
00:29 Alternate angles are on different sides and levels
00:37 Corresponding angles are on the same side and level
00:42 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

a a is parallel to

b b

Determine which of the statements is correct.

αααβββγγγδδδaaabbb

2

Step-by-step solution

Let's review the definition of adjacent angles:

Adjacent angles are angles formed where there are two straight lines that intersect. These angles are formed at the point where the intersection occurs, one next to the other, and hence their name.

Now let's review the definition of collateral angles:

Two angles formed when two or more parallel lines are intersected by a third line. The collateral angles are on the same side of the intersecting line and even are at different heights in relation to the parallel line to which they are adjacent.

Therefore, answer C is correct for this definition.

3

Final Answer

β,γ \beta,\gamma Colateralesγ,δ \gamma,\delta Adjacent

Practice Quiz

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If one of two corresponding angles is a right angle, then the other angle will also be a right angle.

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