In the diagram, PQRW is a circle. Line PW and QR are produced to meet at M, where ∠WMR = 30o and |WM| = |MR| Find the value of x
Attached Figure / Diagram
A
10o
B
25o
C
35o
D
60o
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
MPQ = PQM = 3x; ∆MPQ
MPQ + PQM + PMQ = 180o; 3x + 3x + 30o = 180o
6x \times 30o = 180o; 6x + 180o - 30o; 6x + 150o
\(x = \frac{150}{6} = 25^{\circ}\)
Source: Myschool Past Questions Archive (Record #26651)