Co-interior Angles: Identifying α, β, γ, δ Between Parallel Lines

Lines a and b are parallel.

Which of the following angles are co-interior?

αααβββγγγδδδaaabbb

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00:00 Which angles are unilateral?
00:03 The lines are parallel according to the given data
00:06 Unilateral angles are located on the same side of the line
00:13 Unilateral angles sum to 180
00:16 And this is the solution to the question

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1

Understand the problem

Lines a and b are parallel.

Which of the following angles are co-interior?

αααβββγγγδδδaaabbb

2

Step-by-step solution

Let's remember the definition of consecutive angles:

Consecutive angles are, in fact, a pair of angles that can be found on the same side of a straight line when this line crosses a pair of parallel straight lines.

These angles are on opposite levels with respect to the parallel line to which they belong.

The sum of a pair of angles on one side is one hundred eighty degrees.

Therefore, since line a is parallel to line b and according to the previous definition: the anglesβ+γ=180 \beta+\gamma=180

are consecutive.

3

Final Answer

β,γ \beta,\gamma

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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