Solving Angle Relationship Problems
Examples of utilizing angle relationships to find unknown angles in diagrams. Learn how to apply properties of vertical angles, supplementary angles, and complementary angles to solve for variable angles efficiently.
Download Presentation
Please find below an Image/Link to download the presentation.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.
You are allowed to download the files provided on this website for personal or commercial use, subject to the condition that they are used lawfully. All files are the property of their respective owners.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.
E N D
Presentation Transcript
Using Angle Relationships to Solve Problems
Example 1: Find the value of x in the diagram. x 37o These are vertical angles, or opposite angles made by intersecting lines. Relationship: Vertical angles are equal in measure. x = 37o
Example 2: Find the value of x in the diagram. 120o 2x Relationship: Vertical angles are equal in measure. 2x = 120o 2 2 Solve equation for x. x = 60o
Example 3: Find the value of x in the diagram. Relationship: Vertical angles are equal in measure. 3x - 10 50o 3x 10 = 50o Solve equation for x. + 10 +10 3x = 60 3 3 x = 20o
Example 4: Find the value of x in the diagram. x 53o These are supplementary angles. Relationship: Supplementary angles add to 180o. x + 53o = 180o - 53 - 53 Solve equation for x. x = 127o
Example 5: Find the value of x in the diagram. 80o 10x Relationship: Supplementary angles add to 180o. 10x + 80o = 180o - 80 - 80 Solve equation for x. 10x = 100o 10 10 x = 10o
Example 6: Find the value of x in the diagram. x x + 48 Relationship: Supplementary angles add to 180o. x + x + 48o = 180o Solve equation for x. 2x + 48o = 180o - 48 - 48 2x = 132o 2 2 x = 66o
Example 7: Find the value of x in the diagram. x 15o These are complementary angles. Relationship: Complementary angles add to 90o. x + 15o = 90o - 15 - 15 Solve equation for x. x = 75o
Example 8: Find the value of x in the diagram. 63o 3x Relationship: Complementary angles add to 90o. 3x + 63o = 90o - 63 - 63 3x = 27 3 3 Solve equation for x. x = 9o
Example 9: Find the value of x in the diagram. x + 16o Relationship: Complementary angles add to 90o. x x + x + 16o = 90o 2x + 16o = 90o Solve equation for x. - 16 - 16 2x = 74 2 2 x = 37o
