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Targeting Grade C

GCSE Mathematics. Targeting Grade C. Shape and Space Unit 2 Angles. If not you need. TOP Names of angles Practice 1: Simple Angles Practice 2: Angles in triangles TAIL 1 Practice 3: parallel lines Practise 4 : Triangles in parallel lines TAIL 2. Can you… Name angles

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Targeting Grade C

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  1. GCSE Mathematics Targeting Grade C Shape and Space Unit 2 Angles

  2. If not you need TOPNames of angles Practice 1: Simple Angles Practice 2: Angles in triangles TAIL 1 Practice 3: parallel lines Practise 4: Triangles in parallel lines TAIL 2 • Can you… • Name angles • Use angle properties • Use triangle angle properties • Try a test • Understand angles in parallel lines • Use properties in triangles • and parallel lines • Try a test

  3. Name the type of angle: Angle BAE Angle DCB Angle EDC B a A E D C Acute Obtuse Reflex TOP Name these angles - , , g b Use CAPITAL LETTERS to denote vertices of a shape or an angle f d e c Remember there can be more than one angle at a point Lesson

  4. 68 0 1. 2. Practice 1: Find the value of the lettered angles and give reasons 3. Lesson

  5. A Diagram NOT accurately drawn 62° x B C D 1. 2. Practice 2: Find the value of the lettered angles and give reasons 3. Lesson

  6. q r p p 0 102 TAIL 1 - Find the value of the lettered angles and give reasons Are you ready for the answers ? 1. x = 360 – (90+60 +100) = 110O 3. 180 – 62 = 118O X = (180 – 118) /2 = 31O 4. 2. Y = 180 – 72 = 108O X = 180 – (72 + 72) = 36O q = 102O p = r = 180 – 102 = 78O Next

  7. o 3x = 360 – (100 + 47) = 213 x = 213/3 = 71 so 2x = 142 y = 360 – (35 + 70 + 87) y = 168 o o o o Triangles sum to 180 Quadrilaterals sum to 360 o y Lesson Find the value of the lettered angles and give reasons Are you ready for the answers ? 5. 6.

  8. Practice 3: Remember: Alternate angles are equal and make a Z Corresponding angles are equal and make an F Allied angles add up to 180 and make a C Next

  9. Practice 3: Find the value of the lettered angles and give reasons 1. ABC is parallel to DEFG.BE = EF.Angle ABE = 38°. Work out x and y, giving reasons 2. Work out x , giving reasons Lesson

  10. Practice 4: Find the value of the lettered angles and give reasons 3. Diagram NOT accurately drawn AC and BD are straight lines which cross at E.AD is parallel to BC. Work out x and y, giving reasons 4. Mark with arrows, (>>), a pair of parallel lines. Mark with the letter R, a right angle. What type of angle is shown by the letter x? Lesson

  11. BEG and CFG are straight lines.ABC is parallel to DEF.Angle ABE = 56°EF = EG Work out x and y, giving reasons o 100 180 – 56 = 124 y = (180 – 124) / 2 = 28 (angles on a straight line add up tp 180 and isosceles triangle has two equal angles o o o z =100 (corresponding angles) x =100 (vertically opposite angles are equal) x =56 (alternate angle) > o o y =80 (angles on a straight line add up to 180 ) Are you ready for the answers ? TAIL 2 1. 2. Work out x, y, and z giving reasons y x > z Next

  12. y = 64 (alternate angles) o o Are you ready for the answers ? TAIL 2 • 3. Work out y, giving reasons Lesson

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