Points D, E and F are marked on the sides AB, BC and CA of triangle ABC, respectively.

Points D, E and F are marked on the sides AB, BC and CA of triangle ABC, respectively. It is known that ABC = 61 °, CEF = 60 °, ADF = 61 °. Find the DFE corner.

The angle ADF and BDF are adjacent angles, the sum of which is 180, then the angle BDF = 180 – ADF = 180 – 61 = 119.

The angle CEF and BEF are adjacent angles, the sum of which is 180, then the angle BEF = 180 – CEF = 180 – 60 = 120.

In the quadrilateral DBEF, the sum of the internal angles is 360, then the angle DFE = 360 – BDF – DBE – BEF = 360 – 119 – 61 – 120 = 60.

Answer: Angle EFD is 60.