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2 years ago

When the sum of the internal angles of a polygon is 10 right angles, then how many sides does it have?

Mathematics

1 answer:

Varvara68 [4.7K]2 years ago

3 0

Answer:

Step-by-step explanation:

Let's say our sum is s.

s = 10 right angles

a right angle is 90 degrees

s = 10 (90)

s= 900

Given the amount of sides in a polygon (n), the sum of the interior angles is equal to

(n-2) * 180

Therefore, the sum of the interior angles is equal to

(n-2) * 180 = 900

divide both sides by 180 to help isolate n

n-2 = 5

add 2 to both sides to isolate n

n = 7

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When the sum of the internal angles of a polygon is 10 right angles, then how many sides does it have? ​

When the sum of the internal angles of a polygon is 10 right angles, then how many sides does it have?