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-WARM UP 4.2 -Khan Academy

Learn how to calculate angle measures in triangles with the Triangle Sum Theorem. Master finding angle measures using examples and the Exterior Angle Theorem. Check your answers to ensure accuracy.

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-WARM UP 4.2 -Khan Academy

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  1. -WARM UP 4.2-Khan Academy -QUIZ 3.3 - 3.4

  2. ESSENTIAL QUESTION • How you calculate angle measures in Triangles?

  3. Triangle Sum TheoremTheorem 4.2 • The sum of the measures of the angles of a triangle is 180

  4. Example 1 Find an Angle Measure GivenmA = 43°andmB = 85°, findmC. SOLUTION C has a measure of 52°. ANSWER Check your solution by substituting 52° for mC. 43° + 85° + 52° = 180°

  5. Example 2 Find Angle Measures ∆ABCand ∆ABDare right triangles. SupposemABD =35°. a. b. FindmBCD. FindmDAB. SOLUTION a. mDAB + mABD= 90° mDAB + 35°– 35° = 90° – 35° mDAB= 55° mDAB + mBCD= 90° b. 55°+ mBCD = 90° mBCD= 35°

  6. Checkpoint Find an Angle Measure FindmA. FindmB. FindmC. 1. 2. 3. ANSWER 65° ANSWER 75° ANSWER 50°

  7. Exterior Angle Theorem Theorem 4.2 The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles.

  8. Example Find an Angle Measure GivenmA = 58°andmC = 72°, findm1. SOLUTION m1= mA + mC = 58° + 72° = 130° 1 has a measure of 130°. ANSWER

  9. Checkpoint Find an Angle Measure Findm2. Findm3. 4. 5. ANSWER 120° ANSWER 155°

  10. Classify the triangle by its angles and by its sides. 1. obtuse, isosceles ANSWER REVIEW acute, isosceles ANSWER 2.

  11. 3. Identify which side is opposite each angle. BC is oppositeA; AB is opposite C; AC is oppositeB ANSWER equilateral or equiangular ANSWER 4. Brittani built a garden bed frame by nailing together three equal lengths of wood to form a triangle. What type of triangle did she create?

  12. Hw Worksheet 4.2A

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