9514 1404 393
Answer:
60°
Step-by-step explanation:
If the measure of the angle is represented by A, then the sum of the three angles in the triangle is ...
A +A +A = 180°
3A = 180° . . . . . . . simplify
A = 180°/3 = 60° . . . . . divide by the coefficient of A
The three angles in an equi-angular triangle are all 60°.
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Additional comment
If the angles are equal, so are the opposite sides. The three sides in an equi-angular triangle are also equal. Generally, such a triangle is called an equilateral triangle. It is useful to remember the angles in an equilateral triangle are all 60°.
One interesting consequence of this is that the smallest angle in any triangle can never be larger than 60°.
