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Geometry

Geometry. 4.2: Angles of Triangles. Theorem 4.1 : Triangle Angle-Sum. The sum of the measures of the angles of a triangle is 180° . Example 1. : Find the missing measures. . 40°. 35°. 1. 2. 38°. 3. Any triangle has 3 interior angles .

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Geometry

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  1. Geometry 4.2: Angles of Triangles

  2. Theorem 4.1: Triangle Angle-Sum • The sum of the measures of the angles of a triangle is 180°.

  3. Example 1 • : Find the missing measures. 40° 35° 1 2 38° 3

  4. Any triangle has 3 interior angles. • Triangles also have exterior anglesformed by extending one side and its adjacent side. • Each exterior angle has two remote interior anglesthat are not adjacent to it.

  5. Theorem 4.2: Exterior Angle • The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.

  6. Example 2 F L 2x -48 W 32 x

  7. Corollaries • Corollary- a theorem with proof that follows as a direct result of a another theorem. • 4.1: The acute angles of a right triangle are complementary. • 4.2: There can be at most one right or obtuse angle in a triangle.

  8. Homework • Page 249: 1-33 all, 36-40 all

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