Will Angle Chasing Work?

Geometry Level 4

In the figure ∠BDA=∠CDB=50∘,∠DAC=20∘,∠CAB=80∘\angle BDA=\angle CDB=50^\circ,\angle DAC=20^\circ ,\angle CAB=80^\circ

If ∠BCA=x∘,∠DBC=y∘\angle BCA=x^\circ,\angle DBC=y^\circ

Then find the sum of the digits of the number xyx^{y}.

Vishnu H Nair by Vishnu H Nair
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