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If the total angle sum of a polygon is 1080° then how many sides does polygon has?
  • a)
    6 sides
  • b)
    8 sides
  • c)
    4 sides
  • d)
    5 sides
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If the total angle sum of a polygon is 1080° then how many sides d...
The formula for finding the sum of interior angles of a polygon is:

Sum of angles = (n-2) � 180�

where n is the number of sides of the polygon.

In this case, the sum of angles is given as 1080�. We can set up the equation:

1080� = (n-2) � 180�

Now we need to solve for n:

1080� = 180�n - 360�

Add 360� to both sides:

1440� = 180�n

Divide both sides by 180�:

8 = n

So the polygon has 8 sides, which is option (b).
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Most Upvoted Answer
If the total angle sum of a polygon is 1080° then how many sides d...
Degrees, then we can use the formula:

total angle sum = (n-2) x 180

where n is the number of sides in the polygon.

Substituting the given angle sum of 1080, we get:

1080 = (n-2) x 180

Simplifying, we get:

6 = n-2

n = 8

Therefore, the polygon has 8 sides.
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Community Answer
If the total angle sum of a polygon is 1080° then how many sides d...
To find the number of sides of a polygon given its total angle sum, we can use the formula:

Total angle sum = (n - 2) * 180�, where n is the number of sides of the polygon.

In this case, the total angle sum is 1080�, so we have:

1080� = (n - 2) * 180�

Divide both sides by 180� to solve for (n - 2):

6 = n - 2

Now, add 2 to both sides to solve for n:

n = 8

So, the polygon has 8 sides, and the answer is (b) 8 sides.
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If the total angle sum of a polygon is 1080° then how many sides does polygon has?a)6 sidesb)8 sidesc)4 sidesd)5 sidesCorrect answer is option 'B'. Can you explain this answer?
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