WAEC - Mathematics (2004 - No. 33)

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

10^o

25^o

35^o

60^o

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

WAEC - Mathematics (2004 - No. 33)

Explanation

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