Home » 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…

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
Correct Answer: Option B
Explanation

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})

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