Angles of Triangles Chapter 4-2 DNA.

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Presentation transcript:

Angles of Triangles Chapter 4-2 DNA

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

Triangle Sum Theorem 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

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

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

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

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

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

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

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

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

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

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

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

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