d = 180°-120°= 60° (∠s on a straight line) = 130° f = 180°-130° = 50°

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Presentation transcript:

d = 180°-120°= 60° (∠s on a straight line) 60 + 70 = 130° f = 180°-130° = 50° (∠s in a triangle)

(vertically opposite ∠s) 45 + 70 = 115° t = 180°-115° = 65° (∠s in a triangle)

(∠s in an isosceles triangle) 180 - 40= 140° 𝒙 = 140°÷ 2 = 70° (∠s in an isosceles triangle)

(∠s in a quadrilateral) (∠s in a quadrilateral) 100 + 110 + 70 = 280° 100 + 120 + 90 = 310° d = 360°- 310° d = 360°- 280° d = 80° d = 50° (∠s in a quadrilateral) (∠s in a quadrilateral)

(∠s in a quadrilateral ) (∠s in a quadrilateral ) 90 + 90 + 140 = 320° 110 + 80 + 110 = 300° d = 360°- 300° d = 360°- 320° d = 40° d = 60° (∠s in a quadrilateral ) (∠s in a quadrilateral )

(∠s in a quadrilateral) (∠s in a quadrilateral) 70 + 70 = 140° 360°- 140° = 220° 2d= 220° d= 220° ÷ 2 = 110° (∠s in a quadrilateral) 140 + 90 = 230° 360°- 230° = 130° 2d= 130° d= 130° ÷ 2 = 65° (∠s in a quadrilateral)

ANGLE FACTS 7

Calculating missing angles 9/12/2018 Calculating missing angles 180° Angles on a straight line add up to 180° Angles in a triangle add up to 180° 360° Angles in a full turn add up to 360° Angles in a quadrilateral add up to 360° Intersecting Lines Opposite angles are equal The angles add up to 360°

EXAMPLES Work out the missing angles below: 1) 2) 3) 4) 5) 6) 7) 8) 150° 1) 120° 2) c 3) 4) 130° 60° 30° b 30° d 50° 90° e 30° a 120° Vertically opposite angles are equal Vertically opposite angles are equal Angles on a straight line add to 180° Angles on a straight line add to 180° Angles on a straight line add to 180° 5) 6) 7) 8) 97° 75° 130° 121° k 130° 110° f 40° 102° 70° h g 78° i j 52° 62° 85° 90° 120° 52° Angles around point add to 360° Angles in a triangle add to 180° Angles in a quadrilateral add to 360° Vertically opposite angles are equal Angles on a straight line add to 180° Angles in a quadrilateral add to 360° 9

Find the Missing Angles 10

How well do you understand the objective? . I don’t understand I nearly understand I fully understand