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Answer :
Each base angle of the isosceles triangle, which represents a face of the pyramid, measures 57 degrees.
In an isosceles triangle, the base angles are equal in measure. Given that each face of the pyramid is an isosceles triangle with a vertex angle of 66 degrees, we can determine the measure of the base angles.
In an isosceles triangle, the sum of the angles is 180 degrees. Since we have a vertex angle of 66 degrees, the sum of the base angles is 180 - 66 = 114 degrees.
Since the base angles are equal, we can divide the sum by 2 to find the measure of each base angle:
Base angle = (114 degrees) / 2
Base angle = 57 degrees
Therefore, each base angle of the isosceles triangle, which represents a face of the pyramid, measures 57 degrees.
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Each face of a pyramid is an isosceles triangle with a 66 degree
vertex. What are the measures of the base angles?
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