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

Question

Lines a and b are parallel.

Which of the following angles are co-interior?

αααβββγγγδδδaaabbb

Video Solution

Solution Steps

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

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.

Answer

β,γ \beta,\gamma

More Questions

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