Vertical Angles Explained

Thursday, September 10, 2020

Vertical Angles Explained

When two lines cross the lines create angles.

Vertical angles are the angles opposite each other when two lines cross and share the same vertex. 

They are always congruent which means equal.

vertical angles

In this example 40° and 40° are vertical angles and 140° and 140°.

"Vertical" refers to the vertex (where they cross), labeled with the yellow dot and not up and down location. 

Notice that two pairs of vertical angles are created.

A classic example you may see with vertical angles is this example.

Find the missing angles.

vertical angles problem

Because b° is vertically opposite 30°, it must also be 30°

A full circle is 360°, so that leaves 360° − 2×30° = 300°

Angles a° and c° are also vertical angles, so 300 divided by 2 = 150 which means they are 150° each. 

Answer: a = 140°, b = 40° and c = 140°.

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