In the triangle DEF from the vertex D, the median DM and the bisector of the inner angle DL are drawn, with DM

In the triangle DEF from the vertex D, the median DM and the bisector of the inner angle DL are drawn, with DM = 1 / 2EF and the angle DLF = 65 deg. Find the corners of the triangle DEF.

We will consider the median DM, it is half of the EF, so DM = EM.

DMF and DME are isosceles, further it should be said that med angle = mde angle.

Angle D = F + E.

The sum of the angles, as we know, is 180.

angle F = 180 – 65 – 45 = 70 °, E = 180 – 90 – 70 = 20 °.

Our answer is 20 °.



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