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4.2 Angle Relationships in Triangles

4.2 Angle Relationships in Triangles. Triangle Sum Theorem. Examples:. After an accident, the positions of cars are measured by law enforcement to investigate the collision. Use the diagram drawn from the information collected to find m XYZ. Examples:.

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4.2 Angle Relationships in Triangles

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  1. 4.2 Angle Relationships in Triangles

  2. Triangle Sum Theorem

  3. Examples: After an accident, the positions of cars are measured by law enforcement to investigate the collision. Use the diagram drawn from the information collected to find mXYZ.

  4. Examples: After an accident, the positions of cars are measured by law enforcement to investigate the collision. Use the diagram drawn from the information collected to find mYWZ.

  5. Corollaries: • Corollary- theorem whose proof follows directly from another theorem

  6. Examples: • One of the acute angles in a right triangle measures 2x°. What is the measure of the other acute angle?

  7. Examples: • The measure of one of the acute angles in a right triangle is 63.7°. What is the measure of the other acute angle?

  8. Examples: • The measure of one of the acute angles in a right triangle is x°. What is the measure of the other acute angle?

  9. Examples: • The measure of one of the acute angles in a right triangle is 48. What is the measure of the other acute angle?

  10. Interior • The interior is the set of all points inside the figure. The exterior is the set of all points outside the figure. Exterior

  11. Exterior Angle Theorem

  12. Examples: • Find mB.

  13. Examples: • Find mACD.

  14. Third Angles Theorem

  15. Examples: • Find mK and mJ.

  16. Examples: • Find mP and mT.

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