Vertical Angles
Concept
Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the “X” formed by two straight lines. They are also called vertically opposite angles as they are situated opposite to each other.
Rules
Use the given angles to determine the measurement of the missing angle.
Example
Solution
∠x is vertically opposite to 117°. Vertical angles are always congruent. Hence ∠x = 117°.
Practice Vertical Angles
Practice Problem 1
Angles shown below are:
Practice Problem 2
Write the value of ∠y.
Practice Problem 3
If the measure of angle A is 41°, Write the measure of its vertical angle.
Practice Problem 4
Find the value of the unknown variable.
An angle is a figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Vertex – is the point where two rays of an angle meet.
Adjacent Angles – Two angles are adjacent if they share a common vertex, a common side, and do not overlap.
Vertical angles are a pair of opposite angles formed by intersecting lines. Vertical angles are always congruent.
Supplementary angles are two angles whose sum is 180 degrees
Complementary angles are two angles whose sum is 90 degrees.
Congruent Angles – Two angles are said to be congruent if their corresponding sides and angles are of equal measure.
Pre-requisite Skills
Measuring Angles
Classifying Angles
Drawing Angles
Estimating Angles
Angles