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Published byJaiden Heasley Modified about 1 year ago

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The Great Angle Chase There are many different pathways that lead to the same destination. Here is just one of them …

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J I L M N K O S P Q R T U G H 25 100 35 Aim: To write in the size of every angle.

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J I L M N K O S P Q R T U G H 25 100 35 Look for the angle between a tangent and a chord. Locate the angles in the alternate segment. 25

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J I L M N K O S P Q R T U G H 100 35 25

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J I L M N K O S P Q R T U G H 100 35 25 35 Look for angles in the same segment.

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J I L M N K O S P Q R T U G H 25 100 35 25 35

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J I L M N K O S P Q R T U G H 25 100 35 Look for angles standing on equal chords. 25 35

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J I L M N K O S P Q R T U G H 25 100 35 25 35

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J I L M N K O S P Q R T U G H 25 100 35 Look for right angles: 25 The angle between a tangent and a radius The angle in a semicircle 65 40 35

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J I L M N K O S P Q R T U G H 25 100 35 25 65 40 35

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J I L M N K O S P Q R T U G H 25 100 35 Look for triangles: 25 65 40 35 Angle sum 55 40 55 75

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J I L M N K O S P Q R T U G H 25 100 35 Look for triangles: 25 65 40 35 Angle sum 55 40 55 75 120

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J I L M N K O S P Q R T U G H 25 100 35 Look for triangles: 25 65 40 35 Angle sum Exterior angle 55 40 55 75 125 75 120

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J I L M N K O S P Q R T U G H 25 100 35 Look for triangles: 25 65 40 35 Angle sum Exterior angle 55 40 55 75 125 60 75 120

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J I L M N K O S P Q R T U G H 25 100 35 Look for vertically opposite angles and angles at a point. 25 65 40 35 55 40 55 75 125 60 120 60 80 100 125 75 105 75 120 60

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J I L M N K O S P Q R T U G H 25 100 35 And there’s another triangle. 25 65 40 35 55 40 55 75 125 60 120 60 80 100 125 75 105 75 120 60 15

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J I L M N K O S P Q R T U G H 25 100 35 And then another pair of angles in the same segment. 25 65 40 35 55 40 55 75 125 60 120 60 80 100 125 75 105 75 120 60 15

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J I L M N K O S P Q R T U G H 25 100 35 Some more right angles. 25 65 40 35 55 40 55 75 125 60 120 60 80 100 125 75 105 75 120 60 15 75 40

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J I L M N K O S P Q R T U G H 25 100 35 Aha! A cyclic quadrilateral. 25 65 40 35 55 40 55 75 125 60 120 60 80 100 125 75 105 75 120 60 15 75 80 40

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J I L M N K O S P Q R T U G H 25 100 35 More angles at a point. 25 65 40 35 55 40 55 75 125 60 120 60 80 100 125 75 105 75 120 60 15 75 80 100 80 100 40

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J I L M N K O S P Q R T U G H 25 100 35 25 65 40 35 55 40 55 75 125 60 120 60 80 100 125 75 105 75 120 60 15 75 80 100 80 100 40

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J I L M N K O S P Q R T U G H 25 100 35 Another angle between a tangent and a chord. 25 65 40 35 55 40 55 75 125 60 120 60 80 100 125 75 105 75 120 60 15 75 80 100 80 100 40

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J I L M N K O S P Q R T U G H 25 100 35 A cyclic quadrilateral. 25 65 40 35 55 40 55 75 125 60 120 60 80 100 125 75 105 75 120 60 15 75 80 100 80 100 40 65

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J I L M N K O S P Q R T U G H 25 100 35 And we’re done! 25 65 40 35 55 40 55 75 125 60 120 60 80 100 125 75 105 75 120 60 15 75 80 100 80 100 40 65

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