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Alona [7]
2 years ago
13

What is the measure of each interior angle and each exterior angle of a regular polygon with 15 sides

Mathematics
1 answer:
oksian1 [2.3K]2 years ago
7 0

Answer: interior angle: 156 degrees

exterior angle: 24 degrees

Step-by-step explanation:

i=interior angle. e=exterior angle

i+e=180

Triangle with 3 sides: Total degrees is 180

Square with 4 sides: Total degrees is 360

Pentagon with 5 sides: Total degrees is 540

s=sides. d=degrees

(540-360)/(5-4)=

180/1=180

d=180s+b

540=180(5)+b

540=900+b

b=-360

d=180s-360

d=180(15)-360

d=2700-360

d=2340 degrees

2340/15=156

i=156 ==> interior angle: 156 degrees

i+e=180

156+e=180

e=24 ==> exterior angle: 24 degrees

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scZoUnD [109]

Answer:

30 ounces

Step-by-step explanation:

You first have to write out the two equations:

5+0.25x=y

2+0.35x=y

Then simply equal the equations to each other:

5+0.25x=2+0.35x

Subtract the 2 from both sides:

3+0.25x=0.35x

Subtract the 0.25x from both sides:

3=0.10x

Divide the 0.10 on both sides:

30=x

So, 30 ounces is your answer!

You can check by plugging 30 back into the equations to make sure that they are equal to each other.

5+0.25(30)=12.5

2+0.35(30)=12.5

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