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Understanding Angles: Complementary, Supplementary, and Adjacent Pairs

Learn to identify and find the measures of angles in various pairs such as complementary, supplementary, and adjacent angles. Practice finding angle measures and solving real-life applications. Understand linear pairs and angle relationships.

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Understanding Angles: Complementary, Supplementary, and Adjacent Pairs

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  1. Bellwork • Find m∠RSQ and m∠TSQ. • m∠XYZ = 117°. Find m∠XYW and m∠WYZ.

  2. Describing Pairs of Angles Section 1.6

  3. Identifying Pairs of Angles In the figure, name a pair of complementary angles, a pair of supplementary angles, and a pair of adjacent angles.

  4. Finding Angle Measures a. ∠1 is a complement of ∠2, and m∠1 = 62°. Find m∠2. b. ∠3 is a supplement of ∠4, and m∠4 = 47°. Find m∠3.

  5. Real-Life Application When viewed from the side, the frame of a ball-return net forms a pair of supplementary angles with the ground. Find m∠BCE and m∠ECD.

  6. Practice

  7. Practice • Two angles form a linear pair. The measure of one angle is twice the measure of the other angle. • Two angles form a linear pair. The measure of one angle is 1/3 the measure of the other angle. • The measure of an angle is nine times the measure of its complement. • The measure of an angle is 1/4 the measure of its complement.

  8. Bellwork • The sum of the measures of two complementary angles is 74° greater than the difference of their measures. Find the measure of each angle. Explain how you found the angle measures.

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