Mastering Vertical Angles: Understanding, Illustration, And Supplementary Nature

Vertical Angles

A pair of opposite congruent angles formed by intersecting lines

Vertical angles are angles formed by the intersection of two lines. These angles are always equal in measure. In other words, if two lines intersect at a point, the angles opposite each other (or across from each other) are called vertical angles, and they have the same degree measure.

Visualizing vertical angles can be easier when we use a picture. If we label the angles, we can see that angle A is opposite to angle C, and angle B is opposite to angle D.

B
/ \
/ \
/ \
A/________\C

D

Vertical angles can also be found in many other shapes, including triangles and polygons. Again, when two lines intersect, the angles opposite each other are vertical angles, meaning they are equal in measure.

It’s also worth noting that vertical angles are supplementary angles, meaning they add up to 180 degrees. This means that if we know the measure of one vertical angle, we can easily find the measure of its companion angle by subtracting its measure from 180 degrees.

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