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Do Now Classify the following triangles as acute, right, or obtuse. 2.
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Section 4.1 – Apply Triangle Sum Properties
Objective: SWBAT classify triangles and find the measures of their angles.
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A triangle is a polygon with three sides
A triangle is a polygon with three sides. A triangle with vertices A, B, and C is called “triangle ABC”.
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Apply Triangle Sum Properties
When the sides of a polygon 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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Example 3: Find an angle measure. Find m<JKM
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Example 4: Find an angle measure. Find m<DEF
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A corollary to a theorem is a statement that can be proved easily using the theorem.
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Example 5: The support for a skateboard ramp shown forms a right triangle. The measure of one acute angle in the triangle is five times the measure of the other. Find the measure of each acute angle.
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Classwork/Homework Complete ALL problems on Triangle Sum and Exterior Angle Theorem Worksheet
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