find the measure of angle using angle relationships
recognize the relationship between different angles fromed by lines and rays
Angles are made up of two sides, that can be formed by line segments or rays. The point where the two join together is called the vertex.
Angles are called using three letters or a number.
There are three main types of angles:
acute angles are less than 90º
obtuse angles are between greater than 90º, but less than 180º
right angles are equal to 90º
Plus we have four basic angle relationships
Complementary angles add up to equal 90º
Supplementary angles add up to equal 180º
Adjacent angles share a common ray or line segment, because they are next to each other
Vertical angles are formed by two intersecting lines
An angle relationship is formed between two angles.
Practice
Examine the image. Use clues from the image as well as your angle types and relationships to answer each question.
2 points
2
Question 1
1.
Match each pair of angles to the angle relationship they show.
Item 2
Item 1
complementary angles
supplementary angles
1 point
1
Question 2
2.
All of the angle pairs in question one are examples of
2 points
2
Question 3
3.
Name a pair of vertical angles.
Solving Problems Based on Angle Relationships
Watch each video to learn how to utilize the four types of angle relationships to solve for x and determine any missing angle measures. Complete the practice problem after each video to test your knowledge.
2 points
2
Question 4
4.
Solve for the value of x.
2 points
2
Question 5
5.
Calculate the measure of the bigger angle.
2 points
2
Question 6
6.
Calculate the measure of the acute angle.
1 point
1
Question 7
7.
Find the value of x.
1 point
1
Question 8
8.
Find the value of x.
1 point
1
Question 9
9.
Determine the value of the smaller angle.
1 point
1
Question 10
10.
Determine the value of the larger angle.
1 point
1
Question 11
11.
Find the value of x.
1 point
1
Question 12
12.
Find the value of x.
Test Yourself
Put all your knowledge on angles together to solve each problem.
3 points
3
Question 13
13.
1 point
1
Question 14
14.
Calculate the value of each angle.
3 points
3
Question 15
15.
Determine the value of the angle represented by the "?" in the image.
