P6 Clock Geometry, Algebra (Challenge question)

The clock face shows the hour and minute hands when the time is 11.34am.
(a) Calculate the acute/obtuse* angle between the minute and hour hands;
(b) Write a math statement in algebra for a general time H:M ,  where H is the hour and M is the minute.
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*not reflex angle.

Click here for my solution to (b).