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

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

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

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

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

Find the complement of... 1) 20 2) 47 3) 100 4) the supplement of No complement the complement of the supplement of the complement of= 60

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

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

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 =

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

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

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

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

Find the missing angle x

Find the missing angle. 119 x 124