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I need help with these questions (see image). Please show workings.

Question : Findthe size of the angles marked by letters in the following diagram.
See image for diagram.​


I Need Help With These Questions See Image Please Show WorkingsQuestion Findthe Size Of The Angles Marked By Letters In The Following DiagramSee Image For Diagr class=

Sagot :

Answer:

  • Angles r and 110 are opposite angles of a cyclic quadrilateral.
  • Opposite angles of a cyclic quadrilateral are supplementary.
  • Central angle is twice the size of the inscribed angle (if same arc intercepted).

As per above properties we have:

  • r + 110 = 180°
  • r = 70°

and

  • s = 2r = 2*70° = 140°