SOLUTION: Given that Triangle FGH is an equilateral triangle, what is the measure of an acute angle of the triangle?
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Question 542390
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Given that Triangle FGH is an equilateral triangle, what is the measure of an acute angle of the triangle?
Answer by
neatmath(302)
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The sum of the three interior angles of ALL triangles is 180 degrees.
The three interior angles of an equilateral triangle are equal to each other.
Thus, each interior angle of ANY equilateral triangle must be 60 degrees, regardless of the length of the sides of the triangle.
A 60 degree angle is also an acute angle by definition, since it is less than 90 degrees.
Each angle in triangle FGH must equal 60 degrees.
I hope this helps!