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.
Practise OCR GCSE Maths Circle Theorems with exam-style questions for Foundation and Higher tier. 72 questions, matched to the OCR GCSE Maths (J560) specification and written in the written papers style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.