Question

I know the solution of the problem, but the only thing I don't understand is how angle DBC equals 62° (the answer says it's to do with the rule 'angles in the same segment are equal', but how does it actually work in this case?) ​

Answer 1

See below.

Explanation:

M < DBC = m < DAC ( because they are both subtended on the circumference by the arc DC).

m < DAC is given as 62 degrees so m <DBC is 62 degrees.