In a circle, chord MN subtends angles at two points A and B on the same segment such that
∠MAN=(3x+10)∘and∠MBN=(5x−26)∘.
Answer the following.
a. (i) Find the value of x.
b. (ii) Hence determine the measures of ∠MAN and ∠MBN.
c. (iii) If ∠MON is the angle subtended by the same chord MN at the centre O, calculate ∠MON.