Measurements of Angles Involving Tangents, Chords & Secants


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question 1 of 3

In the picture below, if arc CE is 172 degrees and arc BD is 80 degrees, what is the measure of angle CAE?

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1. In the picture below, if arc BD is 168 degrees and arc BC is 70 degrees, what is the measure of angle BAD?

2. In the picture below, if major arc BC is 258 degrees and minor arc BC is 102 degrees, what is the measure of angle BAC?

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About This Quiz & Worksheet

Tangents, chords, and secants can be used to measure angles, and this quiz/worksheet combo will help you test your understanding of how to use each of these concepts to determine the measurement of a given angle.

Quiz & Worksheet Goals

In these assessments, you'll be tested on your ability to find the measurement of an angle using:

  • Tangents
  • Chords
  • Secants

Skills Practiced

This quiz and worksheet will allow you to test your skills in the following areas:

  • Reading comprehension - ensure that you draw the most important information from the related geomtery lesson
  • Critical thinking - apply relevant concepts, such as tangents, chords, and secants, to examine information about angle measures in a different light
  • Problem solving - use your acquired knowledge to solve practice problems involving using tangents, chords, and secants to define angle measures

Additional Learning

To learn more, review the accompanying lesson, Measurements of Angles Involving Tangents, Chords & Secants. This lesson covers the following objectives:

  • Define tangents, chords, and secants
  • Describe how to use the concepts to determine the measure of an angle
  • Demonstrate your ability to solve for the measurement of an angle using these concepts