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In the figure below, O is the centre of the circle and ∟EAD=40º,∟BCD=118º
figure with O as the centre of the circle
Find giving reasons

  1. ∟ADE 
  2. reflex ∟EOD
  3. ∟EBD 
  4. ∟EAB
  5. ∟DAB

1 Answer

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  1. ∟ADE = 50°
    (∟AED =90°− Ls in a semi-circle)
  2. reflex ∟EOD =360 − (40×2)
                       =360 −80 =280°
    (∟ at centre =2∟ on circumference)
  3. ∟EBD=40°
    (∟s in same segment)
    (or ∟s subtended by the same chord/arc)
  4. ∟EAB=90°
    (∟s in a semi-circle)
  5. ∟DAB =180 − 118 = 62°
    (Opp. ∟s in a cyclic quad are supp.).
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