Vertical Angles
In geometry, pairs of angles can relate to each other in several ways. In this lesson we will explain vertical amgles. Vertical AnglesTwo pairs of angles are formed by two intersecting
lines. Vertical angles are opposite Very often math questions will require you to work out the values of angles given in diagrams by applying the relationships between the pairs of angles.
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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