Correct Answer: Option B

Explanation

bisector theorem:
\(\frac{|MN|}{|MO|}\) = \(\frac{|PO|}{|NP|}\)
taking the bisected angle:x and y = |ON|=12
: x+y= 12
x =  12 - y
|PO| = 12 - y
\(\frac{6}{4}\)= \(\frac{12-y}{y}\)
6y = 4 (12-y)
6y = 48 - 4y
= 4.8

Recall that x+y= 12

12 - 4.8 =7.2

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