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Learn to classify triangles & find angles, use exterior triangle angles, Triangle Angle-Sum Theorem, and more! Example problems included.
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3-3 Parallel Lines & the Triangle Angle Sum TheoremM11.B.2 2.4.11.B Objectives: To classify triangles and find the measures of their angles. To use exterior angles of triangles.
Triangle Angle-Sum • The sum of the measures of the angles of a triangle is 180. m<A + m<B + m<C = 180 C A B
Example: Find the missing value • Find m<Z Z 67° 48° X Y
Example: Find the missing value • Triangle ABC, <ACB is a right angle, and CD AB. Find the values of a, b, and c(Textbook page 133 - TE) T
Ex: Find the value of x, y, and z.(textbook page 132) G F J H
Classify Triangles: by Angles • Equiangular • Acute • Right • Obtuse
Classify Triangles: by Sides • Equilateral • Isosceles • Scalene
Vocab • An exterior angle of a polygon, is an angle formed by a side and an extension of an adjacent side. • For each exterior angle of a triangle, the two nonadjacent interior angles are its remote interior angles. Triangle Exterior Angle Theorem. m<1= m<2 + m<3