In the diagram, PS and RS are tangents to the circle centre O. ∠PSR = 70°, ∠POR = m, and ∠PSR =n. Find ( m + n ).
Attached Figure / Diagram
A
110\(^o\)
B
135\(^o\)
C
165\(^o\)
D
225\(^o\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
In the diagram,
Thus, m = 2 x 55\(^o\) (is a bisector of obtuse
m = 110\(^o\)
n = \(\frac{1}{2}\) x 110\(^o\) (angle at centre = 2 x angle at circum)
n = 55\(^o\)
m + n = 110 + 55 = 165\(^o\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #49510)