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TechMathI - 3.4 - The Triangle Sum Theorem

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Bell Ringer 1 5x - 6 3x + 4 1. Find measure of x. 2. Find measure of <1. 2 3 3. Find measure of <2. 4. Find measure of <3.
[object Object],[object Object],Equilateral - has three congruent sides Isosceles - has two congruent sides Scalene - has no congruent sides
[object Object],Acute Triangle - has three acute angles Equiangular Triangle - has three congruent angles Right Triangle - has exactly one right angle Obtuse Triangle - has one obtuse angle
Leg Leg Base Base Angle Base Angle
[object Object],- the measure of the exterior angle is equal to the sum of the two remote interior angles 1 4 2 3
110° ? 60° Example 1:
1 55° 95° Example 2: 2 3 ,[object Object],[object Object],[object Object]
38° x y z 48° You try! Find x, y, and z.

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TechMathI - 3.4 - The Triangle Sum Theorem

  • 1. Bell Ringer 1 5x - 6 3x + 4 1. Find measure of x. 2. Find measure of <1. 2 3 3. Find measure of <2. 4. Find measure of <3.
  • 2.
  • 3.
  • 4. Leg Leg Base Base Angle Base Angle
  • 5.
  • 6. 110° ? 60° Example 1:
  • 7.
  • 8. 38° x y z 48° You try! Find x, y, and z.