Exterior Angle Property of Triangles
Explore and apply the exterior angle property of triangles to solve for unknown angles in various geometric figures.
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Exterior Angle Property of Triangles
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Read each question carefully and use the exterior angle property of triangles to find the unknown angles. Show all your work.
1. State the Exterior Angle Property of a Triangle in your own words.
2. In the triangle above, find the value of x.
3. The exterior angle of a triangle is equal to the sum of the two interior angles.
4. If the two opposite interior angles are 45° and 85°, then the exterior angle is .
5. Which of the following statements is true regarding the exterior angle of a triangle?
It is always acute.
It is equal to the adjacent interior angle.
It is equal to the sum of the two opposite interior angles.
It is always less than 90 degrees.
6. In the given triangle PQR, the exterior angle at Q is 130°. If the interior opposite angles are 2y and 3y, find the value of y and the measure of each interior angle.
7. The sum of an exterior angle and its adjacent interior angle is always 180°.
True
False