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Circle Theorems

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Question 21

KKK, L L\,L and M M\,M are points on the circumference of a circle, centre OOO, such that KM KM\,KM passes through OOO.

Angle LKM=(2x+20)∘LKM = (2x + 20)^\circLKM=(2x+20)∘ Angle LMK=(x+10)∘LMK = (x + 10)^\circLMK=(x+10)∘

Find the value of xxx.

You must show all your working.

[3]

Circle Theorems Questions

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