Question

1. error analysis in the calculation shown, what is danielles error? the sum of the measures of the exterior angles of a 25 - gon is 180·(25 - 2)=4,140. x

Explanation:

Step1: Recall the formula for sum of interior angles

The formula for the sum of interior angles of an \(n\) - gon is \(180\cdot(n - 2)\).

Step2: Recall the property of sum of exterior angles

The sum of the exterior angles of any polygon (regardless of the number of sides \(n\)) is \(360^{\circ}\). Danielle used the formula for the sum of interior angles instead of applying the property of exterior angles.

Answer:

Danielle used the formula for the sum of interior angles (\(180\cdot(n - 2)\)) instead of knowing that the sum of exterior angles of any polygon is \(360^{\circ}\).