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1 Lesson Plan #38 Date: Wednesday December 9th, 2015 Class: Geometry Topic: Exterior angle of a triangle Aim: What is the relationship between an exterior angle of a triangle and its 2 remote interior angles of the triangle? Objectives: 1) Students will be able to use the relationship between an exterior angle of a triangle and the 2 remote interior angles of the triangle to solve problems. HW#38: Do Now: Statements 1. Reasons 1. 2 PROCEDURE: Write the Aim and Do Now Get students working! Take attendance Give Back HW Collect HW Go over the Do Now Assignment #1: Complete the proof below Given: βπ΄π΅πΆ with exterior < πΆπ΅π· at vertex π΅ Two non-adjacent interior angles < π΄ and < πΆ Prove: π < πΆπ΅π· = π < π΄ + π < πΆ Statements 1. βπ΄π΅πΆ with exterior < πΆπ΅π· at vertex π΅ 1. Reasons 2. < πΆπ΅π· and < πΆπ΅π΄ form a linear pair 2. A linear pair of angles are two angles whose sum is a straight angle (1) 3. < CBD and < CBA are supplementary 3. If two angles form a linear pair, then they are supplementary (2) 4. π < πΆπ΅π· + π < πΆπ΅π΄ = 180 4. 5. π < π΄ + π < πΆπ΅π΄ + π < πΆ = 180 5. 6.π < πΆπ΅π· + π < πΆπ΅π΄ = π < π΄ + π < πΆπ΅π΄ + π < πΆ 6. 7.π < πΆπ΅π· = π < π΄ + π < πΆ 7. Link: http://hotmath.com/hotmath_help/topics/exterior-angle-theorem.html Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles. Online Interactive Activity : Letβs go http://www.mathopenref.com/triangleextangletheorem.html and see the relationship between an exterior angle of a triangle and the two remote interior angles. Together #1: Together #2: Find the measure of the angle labeled c. 3 On Your Own 1: If the measure of the exterior angle = 3x ο 10 degrees and the measure of the two remote interiors angles are 25 degrees and ο¨ x ο« 15ο© degrees, find x . On Your Own 2: On Your Own 3: Past Regents Question: 4 Group Work: 27) 5 If enough time: 5) 6) 6 7) 8) 9) 10) 11) 12)