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Published byDarcy O’Neal’ Modified over 9 years ago
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Angles Triangles, Quadrilaterals, Polygons
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Remember Angles around a single point add up to 360 0.
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Find angle a in this diagram:
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Remember Angles on a straight line add up to 180 0.
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What is the missing angle?
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Remember Vertically opposite angles are equal.
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Remember Angles in a triangle add up to 180 0. Angles in a quadrilateral add up to 360 0.
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Find the missing angles in the following shapes. – Another reminder: Angles in a triangle add up to 180 0.
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a 60º 45º Find angle a
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b 37º 48º Find angle b
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c 40º c Find the angles marked c
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3x x 2x What is the size of each of the angles?
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Angles in a quadrilateral How many degrees?
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x 60º 55º x = º 145º
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x 100º 55º x = º 95º
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x 200º 25º x = º 115º
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x x x = º 2x
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Aims Correctly identify properties in each of a range of 3D shapes. Become familiar with edges, corners and faces and how they construct different types of 3D shapes. Recall rules of working out angles in a range of shapes, applying calculations in an organised way.
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Angles in a polygon Formula to use to calculate the sum of the interior angles in a polygon (n – 2) x 180 = total number of degrees n is the number of sides in the polygon
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How many sides does the shape have? Apply the formula (n-2) x 180 to find the sum of the interior angles If this is a regular hexagon, calculate the size of each of the interior angles Click for answers 6 (6 – 2) x 180 = 4 x 180 = 720º 720 ÷ 6 = 120º
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If you forget this formula you can always divide the shape into triangles Can be divided into three triangles Each triangle has an angle sum of 180º So, angle sum of the pentagon is 3 x 180 = 540º 1 2 3
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x 70º x = º 140º 130º
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x 110º 100º x = º 110º 120º
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x 140º x = º 140º 80º
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