2.
Find the sum of the interior angles of a nonagon. (1 point)
140°
1,620°
1,260°
1,450°
4.
Find the measure of each interior angle of a polygon with 12 sides. (1 point)
1,800°
150°
180°
145°
5.
Four of the angles of a pentagon measure 85°, 110°, 135°, and 95°. Find the measure of the missing angle. (1 point)
115°
95°
135°
85°
My answers:
2. 1,260°
4. 150°
5. 115°
what is the answer to the rest of them
To find the sum of the interior angles of a nonagon, we can use the formula for the sum of the interior angles of a polygon. The formula is given by:
Sum = (n - 2) * 180
where n is the number of sides of the polygon.
For a nonagon, n = 9. Plugging in this value into the formula, we have:
Sum = (9 - 2) * 180
= 7 * 180
= 1,260°
So your answer of 1,260° for the sum of the interior angles of a nonagon is correct.
To find the measure of each interior angle of a polygon with 12 sides, we can use the formula for the measure of each interior angle of a regular polygon. The formula is given by:
Angle = (n - 2) * 180 / n
where n is the number of sides of the polygon.
For a polygon with 12 sides, n = 12. Plugging in this value into the formula, we have:
Angle = (12 - 2) * 180 / 12
= 10 * 180 / 12
= 1,800° / 12
= 150°
So your answer of 150° for the measure of each interior angle of a polygon with 12 sides is correct.
For the missing angle in a pentagon with angles measuring 85°, 110°, 135°, and 95°, we can find the sum of the given angles and subtract it from the sum of the interior angles of a pentagon, which is 540°.
Given angles sum = 85° + 110° + 135° + 95°
= 425°
Missing angle = 540° - given angles sum
= 540° - 425°
= 115°
So your answer of 115° for the missing angle in the pentagon is correct.