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Geometry Section 4.1 Apply Triangle Sum Properties.

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Presentation on theme: "Geometry Section 4.1 Apply Triangle Sum Properties."— Presentation transcript:

1 Geometry Section 4.1 Apply Triangle Sum Properties

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3 Angles of a Triangle When the sides of a polygon (triangle) are extended, other angles are formed. The original angles are the interior angles. The angles that form linear pairs with the interior angles are the exterior angles

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5 Triangle Sum Theorem The sum of the measures of the interior angles is 180° A B C

6 Exterior Angle Theorem The measure of an exterior triangle is equal to the sum of the measures of the two nonadjacent interior angles A B C 1

7 Corollary to the Triangle Sum Theorem The acute angles of a right triangle are complementary A BC

8 Examples Page 221 #15, 17, 33, 37

9 Assignment Section 4.1 Page 221 Problems #1-6 all, 8-18 even, 21-26, 32, 34


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