In the diagram, PQRW is a circle. Line P, V and QR are produced to meet at M, where ∠WMR = 30o and |WM| = |MR| Find the value of x

  • A 10o
  • B 25o
  • C 35o
  • D 60o

The correct answer is B. 25o

MPQ = PQM = 3x; ∆MPQ

MPQ + PQM + PMQ = 180o; 3x + 3x + 30o = 180o

6x \times 30o = 180o; 6x + 180o - 30o; 6x + 150o

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

Previous question Next question