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

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Presentation transcript:

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.

Section 5 - Complementary and Supplementary Angles 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. 1 2 A B O C 1 and 2 are adjacent angles. mAOB + mBOC = mAOC Chapter 1 Section 5 - Complementary and Supplementary Angles

Section 5 - Complementary and Supplementary Angles Complementary Angles Complementary angles are two angles whose sum is 90°. A B 40° 50° 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° Chapter 1 Section 5 - Complementary and Supplementary Angles

Section 5 - Complementary and Supplementary Angles Supplementary angles are two angles whose sum 180°. C D 30° 150° 3 4 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° Chapter 1 Section 5 - Complementary and Supplementary Angles

Section 5 - Complementary and Supplementary Angles 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 Chapter 1 Section 5 - Complementary and Supplementary Angles