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Karo-lina-s [1.5K]
2 years ago
14

Find the sum of the angle measures in a regular polygon.

Mathematics
2 answers:
Oksana_A [137]2 years ago
6 0

Answer:

D) 1260°

Step-by-step explanation:

In an n-sided polygon, the sum of all angles is equal to (n-2)*180°.

Look at it this way - let's add a point in the middle and connect it to each vertex. Then we've got n triangles for a total of n*180°, but all of the angles at the middle point aren't "part" of the polygon, so a full 360° angle should be subtracted, giving us n*180°-360° = (n-2)*180°

You can easily confirm that it works for triangles and quadrangles ;)

The figure in the picture has 9 sides, so the sum of angles is (9-2)*180° = 7*180° = 1260°

Stells [14]2 years ago
5 0

1260°

hope this helps ^-^

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Step-by-step explanation:

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2 years ago
Read 2 more answers
Completely simplified the expression for x plus 10 plus 6 x plus 2 x by combining like terms into your answer in the box.
siniylev [52]
We can first turn the text into a proper formula:

x plus 10 plus 6 x plus 2 x

x+10+6x+2x

The like terms are the numbers with

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x+6x+2x+10

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7 0
2 years ago
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What is the measure of each angle? Show your work!
nalin [4]

Answer:

pos: 99.  Sor: 17.    roq: 64

Step-by-step explanation:

(5x+4)+(x-2)+(3x+7)=180

we add the angles to 180 because straight lines are equal to 180

5x+4+x-2+3x+7=180

5x+x+3x+4-2+7=180

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angles (left right)

99.   17.     64.      

6 0
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