K,L K, L\,K,L and M M\,M are points on the circumference of a circle, centre CCC. KCM KCM\,KCM is a diameter of the circle.

Prove that angle KLM KLM\,KLM is 90∘ 90^\circ\,90∘
You must not use any circle theorems in your proof.
Practise Eduqas GCSE Maths Proof of the Circle Theorems with exam-style questions for Foundation and Higher tier. 20 questions, matched to the Eduqas GCSE Maths (C300QS) specification and written in Component 1 and Component 2 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.