Question

what is the sum of the interior angles in a pentagon? 180 360 540 90 what is the sum of interior angles in a hexagon 360 540 720 1080

Explanation:

Step1: Recall angle - sum formula

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

Step2: Calculate for pentagon

For a pentagon, $n = 5$. Substitute $n = 5$ into the formula: $(5 - 2)\times180^{\circ}=3\times180^{\circ}=540^{\circ}$.

Step3: Calculate for hexagon

For a hexagon, $n = 6$. Substitute $n = 6$ into the formula: $(6 - 2)\times180^{\circ}=4\times180^{\circ}=720^{\circ}$.

Answer:

For the sum of the interior angles in a pentagon: 540
For the sum of interior angles in a hexagon: 720