Question

what is no?
no =
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work it out
not feeling ready yet? these can help:
tangent lines (10)
additive propert

Explanation:

Step1: Use the property of tangents from a common external point

Tangents from a common external point to a circle are equal. So, \(IP = IO - PO\), but actually, for the quadrilateral with an incircle, we know that \(IO=15\), \(IJ = 8\), \(JK=11\), \(KM = 5\). Let's use the formula: If a quadrilateral has an incircle, then \(IO+KM=IJ + NO\) (sum of opposite sides are equal).

Step2: Solve for \(NO\)

We are given \(IO = 15\), \(KM=5\), \(IJ = 8\). Substitute into the equation \(IO+KM=IJ + NO\).

$$15 + 5=8+NO$$

$$20=8 + NO$$

$$NO=20 - 8$$

Answer:

\(12\)