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 answer is 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°