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Circle Theorems

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Question 12

LLL, M M\,M and N N\,N are points on the circumference of a circle, centre OOO. KNP KNP\,KNP is a tangent to the circle at point NNN.

Angle LMN=59∘LMN = 59^\circLMN=59∘ Angle LNM=76∘LNM = 76^\circLNM=76∘ Angle PNL=x∘PNL = x^\circPNL=x∘

Find the value of xxx.

Give reasons for each stage of your working.

[3]

Circle Theorems Questions

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