Calculating the Angle Formed From Intersecting Lines


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What is the angle of inclination of a line with slope 1?

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1. What is the measure of the acute angle formed from the intersection of a line with a slope of 1 and another line with a slope of 3?

2. When using the angle of inclination to find your angle of intersecting lines, what do you do if you want the obtuse angle but you calculated the acute angle? You are using degrees.

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About This Quiz & Worksheet

Answer these quiz and worksheet questions to make sure you understand how to find the angles of an intersecting set of lines. You will need to solve practice problems using slope and angle of inclination.

Quiz & Worksheet Goals

In this set of questions you'll assess your understanding of:

  • The relationship between obtuse and acute paired angles
  • How to use a negative answer found when working with angles of inclination
  • The angle of inclination

Skills Practiced

  • Reading comprehension - ensure that you draw the most important information from the related lesson, such as how you would find the angle of an acute angle if you had the obtuse angle related to it
  • Problem solving - use acquired knowledge to solve slope and angle of inclination practice problems
  • Information recall - access the knowledge you've gained regarding how you find the angle of inclination for a given set of lines

Additional Learning

If you're still curious about this type of mathematics, review the lesson titled Calculating the Angle Formed by Intersecting Lines. It will help you understand:

  • The nomenclature used regarding slopes and angles
  • What two intersecting lines will look like
  • The definition of an acute angle