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Aim:

Aim:. B. z. x. Given:. D. E. y. Prove:. A. C. What is the sum of angle measures in a triangle?. Do Now:. Given. Def. straight angle. Partition Postulate. Substitution Post. Substitution Post. B. F. (((. (((. )). )). (. (. C. A. G. E. B. C. A. Theorem #19:.

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Aim:

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  1. Aim: B z x Given: D E y Prove: A C What is the sum of angle measures in a triangle? Do Now: Given Def. straight angle Partition Postulate Substitution Post. Substitution Post.

  2. B F ((( ((( )) )) ( ( C A G E B C A Theorem #19: The sum of the measure of the angles of a triangle is 180°. Corollary #19-1: If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent. Corollary #19-2: The acute angles of a right triangle are complementary. Geometry Lesson: Sum of Angles in a Triangle

  3. B C A C A B Corollary #19-3: Each acute angle of an isosceles right triangle measures 45°. Corollary #19-4: Each acute angle of an equilateral triangle measures 60°. Geometry Lesson: Sum of Angles in a Triangle

  4. C D B A Corollary #19-5: The sum of the measures of the angles of a quadrilateral is 360°. Geometry Lesson: Sum of Angles in a Triangle

  5. Ex: Sum of Angle Measures in Triangles • In each case, state whether the 3 numbers can represent the angle measures of a triangle. • a) 10, 120, 50 b) 65, 55, 65 c) 82, 14, 78 3) Find the measure of the largest angle of a triangle if it’s angle measures are in the ratio 1 : 3 : 5 4) The measure of the vertex angle of an isosceles triangle is 20 less than twice the measure of a base angle. Find the measures of all angles in the triangle.

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