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In the diagram POR is a circle with center O QP... - WAEC Mathematics 1999 Question

In the diagram, POR is a circle with center O. ∠QPR = 50°, ∠PQO = 30° and ∠ORP = m. Find m.

A
20o
B
25o
C
30o
D
50o
correct option: a

< QOR = 50° x 2 = 100°

Reflex < QOR = 360° - 100° = 260°

\(\therefore\) 30° + 50° + 260° + m = (4 - 2) x 180°

340° + m = 360°

m = 360° - 340° = 20°

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