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Line segment TS is tangent to circle O at point N. Circle O is shown. Line segment Q N goes from one side of the circle to the other side. Tangent T S intersects the circle at point N. Point P is on the circle between points Q and N. Point R is on the circle between points Q and N. Angle Q N T is 74 degrees. If the measure of Angle Q N T is 74°, what is the measure of Arc Q P N? 37° 74° 148° 212°

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Answer:

I think it’s 148

Step-by-step explanation: My reason is because since arc QPN is “connected” to the arc QPN following the rule that every arc is multiplied by 2 from the angle. It’s 148 by 74 times 2.

I’m sorry if you get this wrong. I’m not the greatest at math

raphealnwobi

The measure of Arc QPN as shown is 148°

Angle

An angle is formed from the intersection of two lines at a point.

∠ONQ + ∠QNT = 90° (angle between tangent and radii)

74 + ∠ONQ = 90

∠ONQ = 16°

In triangle OQN, OQ = ON (isosceles), hence ∠OQN = ∠ONQ:

∠OQN + ∠ONQ + ∠NOQ = 180 (sum of angles in a triangle)

16 + 16 + ∠NOQ  = 180

∠NOQ = 148°

The measure of Arc QPN as shown is 148°

Find out more on Angle at: https://brainly.com/question/25770607

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