Question

question 5 (1 point)
what is the measure of one interior angle of a regular triangle (round to the nearest tenth)?
_________ degrees
blank 1:

Explanation:

Step1: Recall the formula for the sum of interior angles

The sum of interior angles of a polygon is given by \((n - 2)\times180^{\circ}\), where \(n\) is the number of sides. For a triangle, \(n = 3\).

$$S=(3 - 2)\times180^{\circ}=180^{\circ}$$

Step2: Find the measure of one interior angle

Since a regular triangle (equilateral triangle) has all angles equal. Let the measure of one interior angle be \(x\). Then \(3x=180^{\circ}\) (because there are 3 angles in a triangle).

$$x=\frac{180^{\circ}}{3}=60^{\circ}$$

Answer:

60