Mathematics, 03.10.2019 09:30 myiacoykendall

What is the sum of the interior angle measures of a 20-gon? (1 point)
360o
3,240o
3,600o
162o
2. what is the measure of one interior angle of a regular 12-gon? (1 point)
30o
180o
1,800o
150o
3. what is the value of x in the regular polygon below?

(1 point)
40
120
60
150
4. what is the measure of an exterior angle of a regular octagon? (1 point)
360o
135o
60o
45o
5. if the measure of an exterior angle of a regular polygon is 24, how many sides does the polygon have? (1 point)
24
12
15
18

Answers: 2

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Answers

Answer from: zasxdcfvg5868

Part 1) What is the sum of the interior angle measures of a 20-gon?

we know that

The formula for getting the sum of interior angle is equal to

S=180*(n-2)

where

S is the sum of the interior angles of a regular polygon.

n is the number of sides

In this problem we have

$n=20\ sides$

substitute in the formula

S=180*(20-2)

$S=180*(18)=3,240\°$

therefore

the answer Part 1) is

the sum of the interior angle measures of a 20-gon is $3,240\°$

Part 2) What is the measure of one interior angle of a regular 12-gon?

The formula for getting the sum of interior angle is equal to

S=180*(n-2)

where

S is the sum of the interior angles of a regular polygon.

n is the number of sides

In this problem we have

$n=12\ sides$

substitute in the formula

S=180*(12-2)

$S=180*(10)=1,800\°$

Divide the sum of the interior angles by the number of sides to obtain the measure of one interior angle

$1,800\°/12=150\°$

therefore

the answer Part 2) is

the measure of one interior angle of a regular 12-gon is $150\°$

Part 3) No diagram given

Part 4) What is the measure of an exterior angle of a regular octagon?

we know that

The sum of exterior angles of a regular polygon is equal to 360 degrees

Divide the sum of exterior angles by the number of sides to obtain the measure of one exterior angle

the regular octagon has sides

$360\°/8=45\°$

therefore

The answer Part 4) is

the measure of an exterior angle of a regular octagon is $45\°$

Part 5) If the measure of an exterior angle of a regular polygon is 24, how many sides does the polygon have?

we know that

The sum of exterior angles of a regular polygon is equal to 360 degrees

Divide the sum of exterior angles by the measure of an exterior angle to obtain the number of sides of the regular polygon

$360\°/24\°=15\ sides$

therefore

the answer part 5) is

$15\ sides$

Answer from: noobieplayerxd

Answers
Question 1) =3240o
Question 2) =150o
Question 3) = There is no diagram given
Question 4) = 450
Question 5) = 15 sides.

Explanation
The formula for getting the sum of interior angle is,
Sn=90(2n-4)
Where Sn = sum of regular interior angle of n sides.
n = number of sides
Question 1)
S20=90(2×20-4)
=90 ×36
=3240
Question 2)
Sn=90(2×12-4)
=90×20
=1800
one interior angle=1800/12=150
Question 3)
No diagram given
Question 4)
The sum of exterior angles of a regular polygon = 360.

360÷8=45
answer= 〖45〗^o
Question 5)
The sum of exterior angles of a regular polygon = 360.
360÷24=15
15 sides.

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Answer from: Quest

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