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1. ACUTE TRIANGLE - a traingle with three acute angles. 2. RIGHT TRIANGLE - a triangle with a right angle. ( 90o angle) 3. OBTUSE TRIANGLE - a triangle with an obtuse angle. 4. SCALENE TRIANGLE - no sides are the same, no angles are the same. 5. ISOSCELES TRIANGLE - two sides are the same, base angles are the same. 6. EQUILATERAL TRIANGLE - all sides are the same, all angles are the same. ( 60o ) The sum of the angles in a triangle is 180o. PROOF: Using Parallel Lines. 1 = 4 and 3 = 5 But 1 + 2 + 3 = 180o If 1 is replaced with 4 and 3 with 5, then 4 + 2 + 5 = 180o (Z pattern) (straight angle) An exterior (or external) angle is the angle between one side of a triangle and the extension of an adjacent side External angle PROPERTIES: An exterior angle of a triangle is equal to the sum of the opposite interior angles. In the figure below the exterior angle 1 is equal to the sum of the angles 3 and 4 External angle 1=3+4 Write an equation for the exterior angle of the triangle. Write an equation for the exterior angle of the triangle. Exterior angle xo = zo + wo Calculate the measures of the unknown angles. State how you know. Calculate the measures of the unknown angles. State how you know. 1. u = 60o ( supplement to 120o ) 2. t = 30o ( sum of triangle ) 3. s = 60o ( sum of triangle ) 4. r = 120o ( supplement to so ) Class work Check solutions to Lesson 16(2) Copy down notes and examples from this lessson. Do Lesson 16(3) worksheet