Question

how many sides would a convex polygon have if each interior angle measures 172°?
45
39
58
35
none of these answers are correct.
question 4
1 pt
calculate the sum of the interior angles of a convex 28 - gon.
5040°
6840°
3240°
4680°
none of these answers are correct.

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 with \(n\) sides is \((n - 2)\times180^{\circ}\).

Step2: Substitute \(n = 28\) into the formula

When \(n=28\), we have \((28 - 2)\times180^{\circ}\).
First, calculate \(28-2=26\).
Then, \(26\times180^{\circ}=4680^{\circ}\).

Answer:

\(4680^{\circ}\)