MathDB

2014.10.4

Part of Kharkiv City MO Seniors - geometry

Problems(1)

angle chasing inside a square (Kharkiv City X 2014 - Ukr)

Source:

3/14/2020
Let ABCDABCD be a square. The points NN and PP are chosen on the sides ABAB and ADAD respectively, such that NP=NCNP=NC. The point QQ on the segment ANAN is such that that ∠QPN=∠NCB\angle QPN=\angle NCB. Prove that ∠BCQ=12∠AQP\angle BCQ=\frac{1}{2}\angle AQP.
squareanglesAngle Chasingequal anglesKharkivgeometry