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Circle Theorems

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Question 11

Points KKK, LLL, M M\,M and N N\,N are points on the circumference of a circle, centre OOO. The points form a cyclic quadrilateral KLMNKLMNKLMN.

Angle KOM=(x+40)∘KOM = (x + 40)^\circKOM=(x+40)∘

Find the size of angle KNMKNMKNM, in terms of xxx. Give reasons for each stage of your working.

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Circle Theorems Questions

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