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P is a point inside square ABCD such that Angle PAB = Angle PBA = 15 degrees.  Find angle PCD.

 

 Jan 6, 2020
 #1
avatar+150 
+1

Let the square side AB = 2

Let's denote the midpoints of a side AB with a letter M, and a side CD with a letter Q

MP = tan(15°) * 1            MP = 0.268   

PQ = BC - MP                 PQ = 1.732   

 ∠DCP => q                    tan(q) = PQ / [(AB)/2]      q = 60°    indecision

 Jan 6, 2020
 #2
avatar+106519 
0

Nice, Dragan.....!!!!

 

cool cool cool

CPhill  Jan 7, 2020

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