Vertical Angles

In geometry, pairs of angles can relate to each other in several ways. In this lesson we will explain vertical amgles.

Vertical Angles

Two pairs of angles are formed by two intersecting lines. Vertical angles are opposite
angles in such an intersection. Vertical angles are equal to each other.

Example:

Given the diagram below, determine the values of the angles x, y and z.

Solution:

Step 1: x is a supplement of 65°.

            Therefore, x + 65° =180° ⇒ x = 180° – 65° = 115°

Step 2: z and 115° are vertical angles.

            Therefore, z = 115°

Step 3: y and 65° are vertical angles.

            Therefore, y = 65°

Answer: x = 115°, y = 65° and z = 115°

The following video explains more about vertical angles.

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