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Triangles and Angles Classifying Triangles Triangle Classification by Sides Equilateral Isosceles Scalene 3 congruent sides 2 congruent sides No congruent sides Triangle Classification by Angles Equilateral Acute Obtuse 60 20 80 60 60 70 40 40 3 congruent angles 3 acute angles Right 35 1 right angle 90 55 120 1 obtuse angle More Definitions Interior Angles: angles inside the triangle (angles A, B, and C) 2 B 1 Exterior Angles: angles adjacent to the interior angles (angles 1, 2, and 3) A C 3 Triangle Sum Theorem The sum of the measures of the interior angles of a triangle is 180o. When you add all the angles of a triangle together, you get the number 180. <A + <B + <C = 180o 60 + 60 + 60 = 180o 40 + 80 + 40 = 180o 30 + 100 + x = 180o 100 80 B 60 A 60 40 30 60 40 50 C Solving for The Angles 92 + 42 x = 180 Write the+ angles addition with 134 + x = 180signs between-134 them. in -134 Write X=46 = 180 Combine Like Terms Solve for x Substitute x back in if you need to. B 42 A 92 xC Write the angles with addition signs in between them. Write = 180 Combine Like Terms Solve for x Substitute x back in if you need to.