What is the measure of NQ?

Given:

Given that K is the center of the circle.

The measure of ∠NLQ is 44°

The measure of arc MP is 60°

We need to determine the measure of arc NQ

Measure of arc NQ:

Let us apply the property that, "if the measure of an angle formed by two secants drawn from a point outside the circle is equal to half the difference of the measures of the intercepted arcs".

Thus, we have;

Substituting the values, we have;

Adding both sides by 60, we get;

Thus, the measure of arc NQ is 148°

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step-by-step explanation: