Vertical Angles Study Guide

Explanation

Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. When two lines intersect, they form two pairs of vertical angles. Vertical angles are always congruent, which means they have the same measure.

Properties of Vertical Angles

• Vertical angles are always congruent.
• Vertical angles are formed opposite each other when two lines intersect.
• Vertical angles have equal measures.

Examples

Given the following intersecting lines, identify the pairs of vertical angles:

Vertical angles:

• Angle 1 and Angle 3
• Angle 2 and Angle 4

Practice Problems

1. Find the measure of Angle 1 if Angle 2 measures 80 degrees.

2. If Angle 3 has a measure of 2x and Angle 4 has a measure of 3x, find the value of x.

Answers

1. Measure of Angle 1 = 80 degrees

2. x = 20 degrees

[Vertical Angles] Related Worksheets and Study Guides:

• AnglesMathematics • Fifth Grade
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• Plane figuresMathematics • Eighth Grade