Question

select the correct answer.
what is the sum of the measures of the interior angles formed by the boundary of this team pennant?
a. 360°
b. 120°
c. 180°
d. 100°

Explanation:

Step1: Recall the formula for the sum of interior angles of a polygon

The formula for the sum of interior angles of a polygon is \(S=(n - 2)\times180^{\circ}\), where \(n\) is the number of sides of the polygon.

Step2: Determine the number of sides of the pennant

The pennant is in the shape of a triangle. For a triangle, \(n = 3\).

Step3: Calculate the sum of interior angles

Substitute \(n=3\) into the formula \(S=(n - 2)\times180^{\circ}\). Then \(S=(3 - 2)\times180^{\circ}=1\times180^{\circ}=180^{\circ}\)

Answer:

C. \(180^{\circ}\)