In triangles ABC and MNK. Angle A = 35, B = 65, C = 80, M = 70, K = 35. What is the angle N?

The sum of the angles of a triangle is 180 degrees (theorem).
This can also be understood by adding up all the angles of the ABC triangle –
Angle A + Angle B + Angle C
35 + 65 + 70 = 180 degrees.
From this it follows that the sum of the angles of the triangle is MNK = 180 degrees.
Then angle N = 180 degrees – Angle M – Angle K
Angle N = 180 – 70 – 35 = 75 degrees
Answer: 75 degrees



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