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Study Guide: Geometry and Solid Figures: Complementary and Supplementary Angles
Source: https://www.fatskills.com/geometry/chapter/geometry-and-solid-figures-complementary-and-supplementary-angles

Geometry and Solid Figures: Complementary and Supplementary Angles

By Fatskills Exam Guides Team — the exam nerds behind 28,500+ quizzes and 2.1M practice questions across 500+ global exams.

⏱️ ~1 min read

image

Two angles with a sum of image degrees are called complementary angles.
image

Two angles with a sum of image degrees are Supplementary angles.



Examples:


Example 1.

  image

Find the missing angle.
Solution: Notice that the two angles form a right angle. This means that the angles are complementary, and their sum is 90image Then: image
The missing angle is 72 degrees. image

Example 2.  Angles Q and S are supplementary. What is the measure of angle Q if angle S is 35 degrees? 
Solution: Q and S are supplementary image
image

Example 3.  Angles image and image are complementary. What is the measure of angle image if angle image is 16 degrees? 
Solution: Angles image and image are complementary image
image



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