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Angle facts

Angle facts. P. R. ^. ^. PQR. and. RQS. Add up to 90 º. Two angles which make a RIGHT angle are. a º. COMPLEMENTARY. b º. a º is the complement of b º. Q. S. and b º is the complement of a º. a º + b º = 90 º.

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Angle facts

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  1. Angle facts P R ^ ^ PQR and RQS Add up to 90 º Two angles which make a RIGHT angle are a º COMPLEMENTARY b º a º is the complement of b º Q S and b ºis the complement of a º a º + b º = 90 º

  2. the complements of the following angles are 73 º 80 º 54 º 10 º 17 º 36 º 9 º 33 º 40 º 81 º 57 º 50 º 84 º 35 º 45 º 6 º 55 º 45 º <ABD or <EBC A the complement of < DBC is D < EBC = 72 º the size of <DBC is 18 º C B the size of <ABD is 72 º E

  3. Supplementary angles H <EFH and <HFG add up to 180 º Two angles which make a STRAIGHT angle p º q º are G E F SUPPLEMENTARY a º is the supplement of b º and b ºis supplement of a º p º + q º = 180 º

  4. the supplements of the following angles are 175 º 60 º 130 º 5 º 100 º 168 º 55 º 178 º 45 º 90 º 120 º 50 º 12 º 125 º 80 º 2 º 135 º 90 º The supplement of <AED is <ABC A The supplement of <CED is <CEB E D B <AED IS140 º <AEB is 40 º <DEC is 75 º <BEC is 105 º C

  5. Vertically opposite angles B A Vertically opposite angles are found on opposite sides of a vertex E < AEB IS VERTICALLY OPPOSITE <DEC D C < AED IS VERTICALLY OPPOSITE <BEC

  6. To find vertically opposite angles we look for angles in an X shape

  7. A bº + aº = 180º aº B E bº + cº = 180º D cº bº aº must be equal to cº C <AEB and <DEC are vertically opposite angles vertically opposite angles are equal <AED and <BEC Another pair of vertically opposite angles are

  8. Corresponding angles A C B D E BC and DE are parallel lines Angles ABC and ADE are CORRESPONDING ANGLES F They are in the same position and they are equal

  9. P An angle corresponding to <PQR is <TRS Q T x R x An angle corresponding to S 4 1 is 3 1 5 7 6 2 is 8 3 2 5 4 6 is 7 5 is Ex4a 1-4

  10. This grid is made up two sets of parallel lines The red shape between the lines is a parallelogram The parallelogram can slide along and down the grid > > > > > > > > > > >

  11. All the parallelograms in the grid are CONGRUENT All the blue angles in the same position and are equal Equal angles in the same position are called CORRESPONDING ANGLES Find all the angles corresponding to the blue angle

  12. To find corresponding angles we look for F shapes

  13. Copy the diagrams.Mark the angles which are corresponding to the given ones with an x x x x x

  14. Alternate angles A C B BC and DE are parallel lines D G E Angles CBG and BGD are ALTERNATE ANGLES F They are on opposite sides of the transverse line AF foundbetween the parallel lines

  15. a c =100º b = 100 º a is vertically opposite c 100 º a= b is corresponding to a 100 º b= b is alternate to c b = c ALTERNATE ANGLES ARE EQUAL

  16. p An angle alternate to <PQR is <QRT Q x x R An angle ALTERNATE to T S 4 7 is 3 1 6 7 6 3 is 8 8 2 5

  17. To find ALTERNATE angles we look for Z shapes

  18. Copy the diagrams Mark the angles which are alternate to the given ones with an x x x x x

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