The height CF is drawn in the isosceles triangle CDE with the base CE. Find the ECF angle if the angle is D = 54 degrees.
| June 29, 2021 | education
Since the triangle ABC is isosceles, its angles to the base of the CE are equal. Angle DCE = DEC = (180 – 54) / 2 = 63.
The CFE triangle is rectangular since CF is the height of the CDE triangle, then the angle ECF = 180 – 90 – 63 = 27.
Answer: The ECF is 27.
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