Question

question 5 1 point gabe said that the interior angles of any pentagon are always 108° because you take the sum of the interior angles which is 540° and divide by 5. is gabe correct? why/why not? gabe is correct because he used the correct formula \\(\frac{(n - 2)180}{n}\\) gabe is incorrect because he multiplied wrong gabe is incorrect because he divided wrong gabe is incorrect because only regular pentagons would have this property, not any pentagon. submit assignment

Explanation:

The formula $\frac{(n-2)180}{n}$ gives the measure of each interior angle only for regular polygons, where all sides and angles are equal. For irregular pentagons, the interior angles can have different measures (they only sum to $540^\circ$, but individual angles are not all $108^\circ$). Gabe incorrectly applied this rule to any pentagon, not just regular ones.

Answer:

Gabe is incorrect because only regular pentagons would have this property, not any pentagon.