In an isosceles triangle MNK with base MK, the apex angle is 40 find the angles at the base.

To complete this task, you need to find the corners at the base of the isosceles triangle. Let’s consider this condition and analyze it.

According to the condition of the task, we are given a triangle MNK, which is isosceles. The angle at the vertex is also known and is equal to 40 °.

Since the base of the triangle is MK, the angle at the apex is N = 40 °.

From the property of an isosceles triangle, the angles at its base are equal, which means M = K.

Since the sum of the angles of the triangle is 180 °, we find the sum of the angles M and K;

180 – 40 = 140 °;

And since the angles M and K are equal, it means;

M = K = 140/2 = 70 °.