Calculate α + B: Geometric Angle Addition with Parallel Lines

Calculate the expression

α+B \alpha+B B30150

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00:00 Calculate B + A
00:06 Alternate angles are equal between parallel lines
00:24 Let's substitute appropriate values in the sum and solve
00:34 And this is the solution to the question

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1

Understand the problem

Calculate the expression

α+B \alpha+B B30150

2

Step-by-step solution

According to the definition of alternate angles:

Alternate angles are angles located on two different sides of the line that intersects two parallels, and that are also not on the same level with respect to the parallel to which they are adjacent.

It can be said that:

α=30 \alpha=30

β=150 \beta=150

And therefore:

30+150=180 30+150=180

3

Final Answer

180 180

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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