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3-3 Parallel Lines & the Triangle Angle Sum Theorem M11.B.2 2.4.11.B

3-3 Parallel Lines & the Triangle Angle Sum Theorem M11.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.

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3-3 Parallel Lines & the Triangle Angle Sum Theorem M11.B.2 2.4.11.B

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  1. 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.

  2. 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

  3. Example: Find the missing value • Find m<Z Z 67° 48° X Y

  4. 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

  5. Ex: Find the value of x, y, and z.(textbook page 132) G F J H

  6. Classify Triangles: by Angles • Equiangular • Acute • Right • Obtuse

  7. Classify Triangles: by Sides • Equilateral • Isosceles • Scalene

  8. Ex: Classify a Triangleby its Angles & Sides 5 4 2

  9. 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

  10. Example: Using the Exterior Angle Theorem

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