Question

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

Answer 1

The correct answer is B. 25^o

MPQ = PQM = 3x; âMPQ

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

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