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Angles of Triangles

Angles of Triangles. Chapter 4-2. DNA. A. B. C. The measures of the s of a  add up to 180 o. m A + m B + m C = 180 o. Triangle Sum Theorem. 7x + 2. 8x – 3. 5x + 1. 7x + 2 + 8x – 3 + 5x + 1 = 180 20x = 180 x = 9. Check your answer!!!.

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Angles of Triangles

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  1. Angles of Triangles Chapter 4-2 DNA

  2. A B C • The measures of the s of a  add up to 180o mA + mB + mC = 180o Triangle Sum Theorem

  3. 7x + 2 8x – 3 5x + 1 7x + 2 + 8x – 3 + 5x + 1 = 180 20x = 180 x = 9 Check your answer!!! 7(9) + 2 8(9) – 3 5(9) + 1 63 + 2 72 – 3 45 + 1 65 + 69 + 46= 180 Triangle Sum Theorem

  4. A. • A • B • C • D A. 95 B. 75 C. 67 D. 85 Lesson 2 CYP1

  5. B. • A • B • C • D A. 95 B. 75 C. 105 D. 85 Lesson 2 CYP1

  6. C. • A • B • C • D A. 48 B. 75 C. 57 D. 67 Lesson 2 CYP1

  7. x + y + z = 180  Sum Theorem a + z = 180 Linear Pair Theorem x + y + z = a + z Trans. Prop. = x x + y = a Subtraction Prop. = y z a

  8. An exterior angle of a triangle is equal to the sum of the two non-adjacent angles of the triangle. x ma = mx + my a y Exterior Angle Theorem

  9. 4x + 5 11x – 7 6x – 2 11x – 7 = 4x + 5 + 6x – 2 11x – 7 = 10x + 3 x = 10 Exterior Angle Theorem

  10. A. 50 B. 45 C. 120 D. 130 A. • A • B • C • D Lesson 2 CYP2

  11. A. 50 B. 45 C. 120 D. 130 B. • A • B • C • D Lesson 2 CYP2

  12. A. 85 B. 135 C. 45 D. 75 C. • A • B • C • D Lesson 2 CYP2

  13. A. 75 B. 45 C. 55 D. 85 D. • A • B • C • D Lesson 2 CYP2

  14. A. 130 B. 150 C. 140 D. 120 E. • A • B • C • D Lesson 2 CYP2

  15. The piece of quilt fabric is in the shape of a right triangle. Find mA if mC is 62. • A • B • C • D A. 62 B. 28 C. 38 D. 152 Lesson 2 CYP3

  16. Homework: Pg 214 # 1 – 7, 9 – 22, 37, & 39

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