Understanding Triangle Angle Sum Theorem and Triangle Classification
Explore the Triangle Angle Sum Theorem, classifications of triangles based on angles and sides, and practical examples involving triangle calculations. Learn about exterior angles, remote interior angles, and triangle properties.
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3-3 Parallel Lines & the Triangle Angle Sum Theorem M11.B.2 2.4.11.B Objectives: 1) To classify triangles and find the measures of their angles. 2) 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
