Question

question 8 (5 points)
how many degrees are there in each exterior angle of an equilateral triangle?
a) 60°
b) 30°
c) 90°
d) 120°

Explanation:

Step1: Recall the property of interior angles in an equilateral triangle

In an equilateral triangle, each interior angle is \(60^{\circ}\) (since the sum of interior angles of a triangle is \(180^{\circ}\) and all angles are equal in an equilateral triangle, so \(180\div3 = 60\)).

Step2: Use the relationship between interior and exterior angles

The sum of an interior angle and its corresponding exterior angle of a polygon is \(180^{\circ}\). Let the exterior angle be \(x\). Then \(x+60 = 180\). Solving for \(x\), we get \(x=180 - 60\).

Answer:

D. \(120^{\circ}\)