Table of Contents
Different Types of Angles – Adjacent Angle & Vertical Angles Notes
An angle is formed by two rays, emanating from a common point. The angle is measured in degrees and can be acute, right, or obtuse.
Adjacent angles are two angles that share a common side and vertex. The measure of an adjacent angle is the sum of the measures of the two angles.
Vertical angles are two angles that share a common vertex but do not share a common side. The measure of a vertical angle is the measure of the angles added together.
Adjacent Angles
Angles that share a common vertex and have a common side are called adjacent angles. The degree measure of an adjacent angle is the sum of the degree measures of the two angles.
Corresponding Angles:
If two lines intersect, then the angles formed where the lines intersect are called “corresponding angles.” Corresponding angles are always equal in measure.
Triangle:
The triangle is a geometric figure with three sides and three angles.
Square:
1. What is the length of a side of a square?
A side of a square is equal to the length of a side of a rectangle.
How to Find the Missing Adjacent Angle?
The missing adjacent angle is the angle that is not adjacent to the given angle. To find the missing adjacent angle, use the following steps:
1. Draw a line segment connecting the two given points.
2. Extend the line segment beyond the two given points.
3. Draw another line segment connecting the two points where the line segments intersect.
4. The missing adjacent angle is the angle located at the end of the line segment that is not adjacent to the given angle.
Vertically Opposite Angles
Vertically opposite angles are angles that are opposite each other and are formed by two intersecting lines. The angles are formed by the two lines intersecting each other and the angles are always equal.
How to Find the Missing Vertical Angle?
To find the missing vertical angle, use the Pythagorean theorem. The length of the hypotenuse is the sum of the other two sides.
Theoretical Description of Adjacent Angles and Vertical Angles:
Angles that are adjacent are those that share a common vertex and a common side.
Angles that are vertical are those that share a common vertex and a common line of symmetry.
Adjacent Angles’ Properties:
Angles that share a common vertex and have the same measure are called adjacent angles.
Angles that are adjacent angles have the following properties:
1. The sum of the angles is 180 degrees.
2. The angles are supplementary angles.
3. The angles are complementary angles.
Difference Between Adjacent and Vertical Angles
The main difference between adjacent and vertical angles is that adjacent angles are angles that share a common vertex and side, whereas vertical angles are angles that are opposite each other and share a common vertex.
