
Show that the angles of an equilateral triangle are 60 degrees each.
Answer
618.3k+ views
Hint: In order to solve this problem we need to know that as the name suggests equilateral each angle in the equilateral triangle is equal.
Complete step-by-step answer:
Let each angle in the equilateral triangle be x.
As we know that the sum of all three angles in any triangle is 180 degrees.
So we have,
$\Rightarrow x + x + x = 180^o$
$\Rightarrow 3x = 180^o$
$\Rightarrow x = 60^o$
So each angle in an equilateral triangle is of 60 degrees.
Note: In this problem you need to know that the sum of each angle in a triangle is 180 degrees and all three angles are equal. Proceeding with this information your problem will be solved.
Complete step-by-step answer:
Let each angle in the equilateral triangle be x.
As we know that the sum of all three angles in any triangle is 180 degrees.
So we have,
$\Rightarrow x + x + x = 180^o$
$\Rightarrow 3x = 180^o$
$\Rightarrow x = 60^o$
So each angle in an equilateral triangle is of 60 degrees.
Note: In this problem you need to know that the sum of each angle in a triangle is 180 degrees and all three angles are equal. Proceeding with this information your problem will be solved.
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