SOLUTION: If m∠P = 2x + 3 and m∠Q = 3x – 8, what is the measure of ∠P?

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Question 652521: If m∠P = 2x + 3 and m∠Q = 3x – 8, what is the measure of ∠P?
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
There is not enough information to solve that.  

Are they supplementary?

If so, m∠P + m∠Q = 180°
      (2x + 3) + (3x – 8) = 180
          3x + 3 + 3x - 8 = 180
                   6x - 5 = 180
                       6x = 185
                        x = 185%2F6°

and m∠P = 2x + 3 = 2185%2F6 + 3 = 185%2F3 + 3 = 185%2F3 + 9%2F3 = 194%2F6 = 64 2/3°   


Are they complementary?

If so, m∠P + m∠Q = 90°
      (2x + 3) + (3x – 8) = 90
          3x + 3 + 3x - 8 = 90
                   6x - 5 = 90
                       6x = 95
                        x = 95%2F6° 

and m∠P = 2x + 3 = 295%2F6 + 3 = 95%2F3 + 3 = 95%2F3 + 9%2F3 = 104%2F6 = 34 2/3°  

Edwin