Pre-algebra
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° I NO THESE ARE RIGHT I NEED THE OTHERS
hard to help, since you don't show the others ...
To find the sum of the interior angles of a nonagon (a polygon with 9 sides), you can use the formula:
Sum = (n - 2) * 180°,
where n represents the number of sides of the polygon.
In this case, we have n = 9, so we substitute it into the formula:
Sum = (9 - 2) * 180° = 7 * 180° = 1260°.
So, your answer for the sum of the interior angles of a nonagon is correct: 1,260°.
For the measure of each interior angle of a polygon with 12 sides, you can use the formula:
Measure of each interior angle = Sum of interior angles / Number of sides.
We already know that the sum of the interior angles can be calculated using the formula (n - 2) * 180°, where n is the number of sides.
In this case, we have n = 12, so we substitute it into the formula:
Sum = (12 - 2) * 180° = 10 * 180° = 1800°.
Now, we can find the measure of each interior angle by dividing the sum by the number of sides:
Measure of each interior angle = 1800° / 12 = 150°.
So, your answer for the measure of each interior angle of a polygon with 12 sides is correct: 150°.
For the missing angle in a pentagon, we know that the sum of the interior angles of a pentagon is always 540°. Therefore, we can find the missing angle by subtracting the sum of the given angles from the total sum.
Given angles: 85°, 110°, 135°, and 95°.
Sum of given angles: 85° + 110° + 135° + 95° = 425°.
Missing angle: Total sum - Sum of given angles = 540° - 425° = 115°.
So, your answer for the missing angle in a pentagon is correct: 115°.
For question 1, the sum of the interior angles of a nonagon can be found using the formula:
Sum = (n - 2) * 180 degrees
where n is the number of sides of the polygon. In this case, since it is a nonagon (a polygon with 9 sides), the sum would be:
Sum = (9 - 2) * 180 = 7 * 180 = 1,260 degrees
Therefore, the correct answer is 1,260°.
For question 3, we can use the same formula to find the sum of the interior angles of a polygon with 13 sides:
Sum = (n - 2) * 180 degrees
Substituting n = 13:
Sum = (13 - 2) * 180 = 11 * 180 = 1,980 degrees
Therefore, the correct answer is 1,980°.