In triangle CDE with angle B equal to 44 degrees, bisector СF is drawn, angle СFE = 68 degrees. Find the corner E.

univerkov | April 26, 2021 | education

The CFD corner is adjacent to the CFE corner, therefore:

CFD = 180 – СFE;

CFD = 180 – 68 = 112 °;

FCD = 180 – CFD – CDF;

FCD = 180 – 112 – 44;

FCD = 24 °;

FCD = FCE = 24 °;

E = 180 – FCE – CFE;

E = 180 – 24 – 68;

E = 88 °.

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