# Lesson 1 problem solving practice parallel lines and angle relationships

- Parallel Lines, and Pairs of Angles
- Angles and Parallel Lines on the GMAT
- Vertical Angles: Proof and Problem-Solving

## Parallel Lines, and Pairs of Angles

Math Antics - Angle Basics

andHere are some basic definitions and properties of lines and angles in geometry. Line segment : A line segment has two end points with a definite length. Ray : A ray has one end point and infinitely extends in one direction. Straight line : A straight line has neither starting nor end point and is of infinite length. Supplementary angles :. The pair of adjacent angles whose sum is a straight angle is called a linear pair.

Learn more about this. In this lesson, students learn about the relationship between vertical angles by making inferences and proving the Vertical Angle Theorem. They then use this relationship to prove other angle relationships and to find angle measurements by using vertical angles. The teacher will use questioning techniques scaffolding, clarifying, probing to facilitate effective deliberation, engage students in discussion, promote critical thinking, and provide feedback throughout the lesson. Note: Drawings are not done to scale.

Since the labeled angles are alternate interior ones , they are congruent. The red angles below are alternate exterior ones , they are equal. The pink angles below are same side interior ones , which means they are supplementary angles so we can set up the equation below. The darkened angles are corresponding and are congruent so we can set up the equation:. Free Algebra Solver Make a Graph Graphing Calculator. X Advertisement.

## Angles and Parallel Lines on the GMAT

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## Vertical Angles: Proof and Problem-Solving

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