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Learn how to find missing angle measurements in triangles using the Triangle Angle Sum Theorem and Exterior Angle Theorem. Practice problems included.
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3 1 2 4 5 90° 40° 40° 50° 130° 90° 50° Just for fun…do these(on the back of your warm up) • Name 2 pair of alternate interior angles 5 & 3 and 4 & 1 2. What is the sum of m1 + m2 + m3? 180° • If m4 = 65° and m5 = 50°, what is m2? 65° 50° 4. Find all the angle measures 40°
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
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.
1 3 2 Triangle Sum Theorem The sum of the angle measures in a triangle equal 180° 1 + 2 + 3 = 180°
Isosceles Triangles 2 congruent sides 2 congruent base angles
Isosceles Triangles & Angle Sum Theorem Base Angles are congruent. W H E + W + H = 180o E + 2(W) = 180o
exterior angle remote interior angles Exterior Angle Theorem The measure of an exterior angle in a triangle is the sum of the measures of the 2 remoteinterior angles A = C + D
exterior angle remote interior angles 2 1 3 4 Exterior Angle Theorem The measure of an exterior angle in a triangle is the sum of the measures of the 2 remoteinterior angles 4 = 1 + 2
Shortcut: 1. Triangle INTERIOR Angle Sum 2. Triangle EXTERIOR Angle Sum
30x find all the angle measures Do you hear the sirens????? 40x 10x2 an example with numbers find x & y 82° x = 68° y = 112° 30° x y 80°, 60°, 40°