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problem 8: find the measures of the angles of an equiangular triangle. …

Question

problem 8: find the measures of the angles of an equiangular triangle. after you enter your answer press go.

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is 180°.

Step2: Let each angle be \(x\)

Since it's an equiangular triangle, all angles are equal. So \(x + x+x=180^{\circ}\).

Step3: Solve the equation

Combining like - terms gives \(3x = 180^{\circ}\). Dividing both sides by 3, we get \(x=\frac{180^{\circ}}{3}=60^{\circ}\). So the angles are 60°, 60°, 60°.

Answer:

60, 60, 60