4. Find the sum of the measures of the interior angles of a octagon.
1,800°
1,080°
1,260°
1,620°
Sum = 180(8-2) = 1080 degrees.
To find the sum of the measures of the interior angles of an octagon, you need to know the formula for calculating the sum of the interior angles of an n-sided polygon. The formula is:
Sum = (n - 2) * 180°
In this case, n represents the number of sides of the polygon, which is 8 for an octagon. Now, let's substitute the value into the formula and calculate:
Sum = (8 - 2) * 180°
Sum = 6 * 180°
Sum = 1,080°
Therefore, the correct answer is 1,080°.
Octogon has 8 sides.
Sum of the interior angles = 180(the number of sides - 2)
= 180(6 - 2)
=...