In the diagram, PQRW is a circle. Line P, V and QR are produced to…

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

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})