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2-7-13 Equations to find missing angles EQ: How can you write and equation to find the measure of missing angles? 1. 2. 3. 4. Bring vocabulary folder and.

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Presentation on theme: "2-7-13 Equations to find missing angles EQ: How can you write and equation to find the measure of missing angles? 1. 2. 3. 4. Bring vocabulary folder and."— Presentation transcript:

1 Equations to find missing angles EQ: How can you write and equation to find the measure of missing angles? Bring vocabulary folder and note cards to class on Friday.

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3 Check Homework X = 30 X=50 x=-3

4 x x+51=180 2x = 180 x= -7

5 Writing Equations to Find Missing Angles Unit 7 Math 7

6 Objective-To find missing angles using rules of geometry. Supplementary Angles- Angles whose sum is 180. a b

7 Find the value of x. x 30 x + 30 = x = 150

8 Find the supplement of the given angle. 1) 40 2) 18 3) 153 4) 65 5) 89 6) 23 7) 131 8)

9 Write a variable equation and solve. Find an angle whose supplement is 30 less than twice the angle. x2x - 30 x + (2x - 30) = 180 3x - 30 = x = 210 x = 70 70

10 Complementary Angles - Angles whose sum is 90. a b x 40 x+ 40 = x = 50

11 Find the complement of... 1) 20 2) 47 3) No complement

12 Write a variable equation and solve. Find an angle whose complement is 20 more than three times the angle. x 3x + 20 x + 3x + 20 = 90 4x + 20 = x = 70 4 x = 17.5

13 180 Rule for Triangles - the sum of the interior angles of any triangle is always 180. a b c x x = x = 180 x = 60

14 Find each angle below. y+14 y y - 10 (y + 14) + (2y - 10) + (y - 20) = 180 4y - 16 = y = 196 y = 49 y + 14 = 63 2y - 10 = 88 y - 20 =

15 Vertical Angles Theorem- the opposite angles of intersecting lines must be equal.

16 Vertical Angles Theorem- the opposite angles of intersecting lines must be equal. Find the missing angles a, b and c. 25 a b c 155 Whats the relationship between angles a and b?

17 Find the missing angle x 48

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23 Summary: How can you write and equation to find the measure of missing angles? Homework: Vocabulary quiz on Friday; Handout; Test on Monday, Bring vocabulary folder and extra cards on Friday.


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