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Two Isosceles Triangles that are both acute triangles.

The sum of the measures of the internal angles of a triangle is 180

Condition:  Given 50° as the measure of an angle of the isosceles triangle, there are two possible isosceles triangles that can be drawn.

a)  First Triangle is an Isosceles triangle with 50° as a base angle. The measurements of the internal angles are: 50° - 80° - 50°.

b)  Second Triangle is an isosceles triangle with 50° as the measurement of the angle opposite the base segment of the triangle.  The measurements of the internal angles are 65° - 50° - 65°