Display Title
Math Example--Solving Equations--Equations with Angles from Parallel Lines Cut by a Transversal--Example 9
Display Title
Equations with Angles from Parallel Lines Cut by a Transversal--Example 9
Topic
Equations
Description
This example returns to the concept of same side interior angles in parallel lines cut by a transversal. The image depicts two parallel lines intersected by a transversal, with one same side interior angle labeled as 68° and the other as x°. Same side interior angles are supplementary when the lines are parallel, meaning they add up to 180°. To solve for x, we set up the equation: 68 + x = 180. Subtracting 68 from both sides gives us x = 112. This example demonstrates how the property of supplementary same side interior angles can be used to solve for unknown angles. It's crucial to recognize that this property holds true for all pairs of same side interior angles in this configuration, regardless of the specific angle measures. This concept is fundamental in geometry and is often used in more complex proofs and problem-solving scenarios involving parallel lines and transversals.
For a complete collection of math examples related to Equations of Parallel Lines click on this link: Math Examples: Equations of Parallel Lines Collection.
| Common Core Standards | CCSS.MATH.CONTENT.4.G.A.2, CCSS.MATH.CONTENT.8.G.A.5 |
|---|---|
| Grade Range | 4 - 8 |
| Curriculum Nodes |
Geometry • Points and Lines • Parallel Lines • Angles and Planes • Applications of Angles and Planes Algebra • Expressions, Equations, and Inequalities • Applications of Equations and Inequalities |
| Copyright Year | 2021 |
| Keywords | Parallel Lines Cut by a Transversal, parallel lines, transversal, vertical angles, supplementary angles, alternate interior angles, alternate exterior angles |
