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Vertical

b = 115 o. Angles a + b = 180 o. a. b. Angles at a Point. Vertical. Oblique line. Horizontal. 90. 90. 90. 90. Angle a = 180 – 115 = 65 o. Vertical. 2. 1. Horizontal. 90. 90. 90. 90. 4. 3. Angles at a Point. 360 o. 360 o. 360 o. 360 o. 360 o. Angles at a Point. d.

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Vertical

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  1. b = 115o Angles a + b = 180o a b Angles at a Point Vertical Oblique line Horizontal 90 90 90 90 Angle a = 180 – 115 = 65o

  2. Vertical 2 1 Horizontal 90 90 90 90 4 3 Angles at a Point 360o 360o 360o 360o 360o

  3. Angles at a Point d a c b Angles at a point add to 360o Angle a + b + c + d = 3600

  4. Angles at a Point Example 1: Find angle a. 90 90 90 90 a 75o 85o 360o 80o 85 75 + 80 240 Angle a = 360 - (85 + 75 + 80) = 360 - 240 = 120o

  5. Angles at a Point Example 2: Find angle x. 90 90 90 90 105o x 360o 100o 90 100 + 105 295 Angle x = 360 - (90 + 100 + 105) = 360 - 295 = 65o

  6. What’s in the box? Example 2: Find angle a. a 65o x 83o 76o Example 1: Find angle x. 115o 105o Angle x = 50o Angle a = 146o

  7. 1 90o 360o 2 4 270o 180o 360o in a circle. What does it mean? 3

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