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Just for fun… do these (on the back of your warm up) 1.Name 2 pair of alternate interior angles  5 &  3 and  4 &  1 2.What is the sum of m  1 + m.

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Presentation on theme: "Just for fun… do these (on the back of your warm up) 1.Name 2 pair of alternate interior angles  5 &  3 and  4 &  1 2.What is the sum of m  1 + m."— Presentation transcript:

1 Just for fun… do these (on the back of your warm up) 1.Name 2 pair of alternate interior angles  5 &  3 and  4 &  1 2.What is the sum of m  1 + m  2 + m  3? 180° 3.If m  4 = 65° and m  5 = 50°, what is m  2? 65° 1 3 2 45 4. Find all the angle measures 50° 40° 90° 40° 90° 130° 50°

2 Just a little quickie… ♥Please get pg 173 off the front desk and do problems 5-20…. ♥We’re just getting a head start on today’s assignment… ♥We’ll have notes in 15 minutes… ♥Go

3 5.2 Triangle Sum Theorem & Exterior Angle Theorem

4 Objectives---What we’ll learn… Find the measurement of a missing angle by using Triangle Angle Sum Theorem. Find the measurement of a missing angle by using Exterior Angle Theorem.

5 Triangle Sum Theorem The sum of the angle measures in a triangle equal 180° 3 2 1  1 +  2 +  3 = 180°

6 Remote Exterior Angle Theorem The measure of an exterior angle in a triangle is the sum of the measures of the 2 remote interior angles exterior angle remote interior angles  A =  C +  D

7 (Remote) Exterior Angle Theorem The measure of an exterior angle in a triangle is the sum of the measures of the 2 remote interior angles 3 2 1 4 exterior angle remote interior angles  4 =  1 +  2

8 Example 1 on Exterior Angle

9 Example 2 on Exterior Angle

10 Example 3 on Exterior Angle (more challenging)

11 Example 4 on Exterior Angle (more challenging)

12 Shortcut: Interior  1+ Interior  2+ Interior  3 = 180 0 1. Triangle INTERIOR Angle Sum 2. Triangle EXTERIOR Angle Sum Remote Interior  1 + Remote Interior  2 = Exterior Angle

13 an example with numbers x 82° 30° y find x & y x = 68° y = 112° 40x10x 2 30xfind all the angle measures 80°, 60°, 40° Do you hear the sirens?????

14 Finish the assignment


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