In the diagram, PQRW is a circle. Line P, V and QR are produced to...
MATHEMATICS
WAEC 2004
In the diagram, PQRW is a circle. Line P, V and QR are produced to meet at M, where ∠WMR = 30° and |WM| = |MR| Find the value of x
- A. 10°
- B. 25°
- C. 35°
- D. 60°
Correct Answer: B. 25°
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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