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Chapter 1 Exploring Geometry: Points, Lines, and Angles in the Plane

Chapter 1 Exploring Geometry: Points, Lines, and Angles in the Plane. Section 5 Complementary and Supplementary Angles Objectives: Students will be able to identify, complementary, supplementary, vertical, and adjacent angles and find missing measures. 1. 2. Adjacent Angles.

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Chapter 1 Exploring Geometry: Points, Lines, and Angles in the Plane

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  1. Chapter 1 Exploring Geometry: Points, Lines, and Angles in the Plane Section 5 Complementary and Supplementary Angles Objectives: Students will be able to identify, complementary, supplementary, vertical, and adjacent angles and find missing measures.

  2. 1 2 Adjacent Angles Adjacent angles are two angles that lie in the same plane and have a common side and a common vertex but no common interior points. A B O C • 1 and 2 are adjacent angles. • mAOB + mBOC = mAOC Section 5 - Complementary and Supplementary Angles

  3. B 40° 50° A Complementary Angles • Complementary angles are two angles whose sum is 90°. 1 2 • 1 and 2 are complementary angles. They also form adjacent angles. • m1 + m2 = 90° • A and B are complementary angles. • mA + mB = 90° Section 5 - Complementary and Supplementary Angles

  4. D 30° 150° 3 4 C Supplementary Angles • Supplementary angles are two angles whose sum 180°. • 3 and 4 are supplementary angles. They also adjacent. Angles that are adjacent and supplementary are are called a linear pair. • m3 + m4 = 180° • C and D are supplementary angles. • mC + mD = 180° Section 5 - Complementary and Supplementary Angles

  5. Vertical Angles • When two lines intersect four angles are formed. • Vertical angles are two nonadjacent angles formed by two intersecting lines. • Vertical angles are congruent. 5 8 7 6 5 and 6 are vertical angles. 7 and 8 are vertical angles. 5  6 & 7  8 Section 5 - Complementary and Supplementary Angles

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