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.
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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