Isosceles triangle ABC is similar to the triangle MNP with vertex angles A and M respectively. If vertex angle A measures 56 degrees, which is the measure of the side angle N?

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A struggling artist's depiction, |dw:1319680127026:dw| If angle A is 56 degrees, that applies that angle M is also 56 degrees since they are similar in that way (vertices). Since its isosceles and the vertex is given that means that the other two angles in the triangle are equal. Since the sum of all angles in a triangle is 180 degree, [180-56]/2 should give you angle B and C. In this case, angle B and C are 62 degrees each. Since they are similar that implies that angle P is the same as C and angle N the same as B. This means that they too are both 62 degrees each. And that I think answers your question.

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