SOLUTION: Circle O with tangent MN mSN = 60 degrees, mQS = x, mQP = x+40, mPN = 2x - 16 (Link to diagram - Slide 13) - http://slideplayer.com/slide/6922425/ Find angle X Find Angle 1

Question 1034360: Circle O with tangent MN
mSN = 60 degrees, mQS = x, mQP = x+40, mPN = 2x - 16
(Link to diagram - Slide 13) - http://slideplayer.com/slide/6922425/
Find angle X
Find Angle 1
Find Angle 2
Find Angle 3
Find Angle 4
Find Angle 5
Find Angle 6
Find Angle 7
Find Angle 8
mPN = ?
Please show work, thank you
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
If you add the four arcs, they add to 360...so that
60 + x + x+40 + 2x-16 = 360
4x + 84 = 360
4x = 276
x = 69
so that the arcs are 60, 69, 109, and 122 degrees.
<4 = (1/2)(60) = 30
<3 = (1/2)(109) = 54.5
<1 = (1/2)(122-60) = 31
<2 = (1/2)(60+69) = 64.5
<5 = (1/2)(69) = 34.5
That should be enough to get you where you need...
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