Calculate α + B: Geometric Angle Addition with Parallel Lines

Question

Calculate the expression

α+B \alpha+B B30150

Video Solution

Solution Steps

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

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

Answer

180 180

More Questions

Related Subjects

Angles In Parallel Lines Collateral angles Adjacent angles Vertically Opposite Angles Alternate angles Corresponding angles

Question Types

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