Question

2.1 score: 4/14 answered: 4/14 question 5 0/1 pt 3 details an equilateral triangle is a triangle in which all three sides are equal. what is the measure of each angle in an equilateral triangle?

Explanation:

Step1: Recall angle - sum property

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

Step2: Let the angle measure

Let the measure of each angle in an equilateral triangle be $x$. Since there are 3 angles and they are equal, we have the equation $x + x+x=180^{\circ}$.

Step3: Solve the equation

Combining like - terms gives $3x = 180^{\circ}$. Dividing both sides by 3, we get $x=\frac{180^{\circ}}{3}=60^{\circ}$.

Answer:

$60^{\circ}$