4.1

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4.1 Apply Triangle Sum Properties

• A triangle is a polygon with three sides. A
  triangle with vertices A, B, and C is called
  triangle ABC.

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4.1 Apply Triangle Sum Properties

• Example 1
• Classify Triangle ABC by its sides and by its
  angles.

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4.1 Apply Triangle Sum Properties

• Example 2
• Draw an obtuse isosceles triangle and an acute
  scalene triangle.

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4.1 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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4.1 Apply Triangle Sum Properties
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4.1 Apply Triangle Sum Properties

• Example 3 Find an angle measure.
• Find mltJKM

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4.1 Apply Triangle Sum Properties

• Example 4 Find an angle measure.
• Find mltDEF

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4.1 Apply Triangle Sum Properties

• A corollary to a theorem is a statement that can
  be proved easily using the theorem.

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4.1 Apply Triangle Sum Properties

• 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.