In the diagram, PQRW is a circle. Line P, V and QR are produced to meet at M, where ∠WMR = 30

^{o}and |WM| = |MR| Find the value of x-
**A.**

10^{o} -
**B.**

25^{o} -
**C.**

35^{o} -
**D.**

60^{o}

##### Correct Answer: Option B

##### Explanation

MPQ = PQM = 3x; ∆MPQ

MPQ + PQM + PMQ = 180^{o}; 3x + 3x + 30^{o} = 180^{o}

6x times 30^{o} = 180^{o}; 6x + 180^{o} – 30^{o}; 6x + 150^{o}

(x = frac{150}{6} = 25^{circ})