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Margarita [4]
2 years ago
10

How many sides does a regular

Mathematics
1 answer:
blondinia [14]2 years ago
3 0

Answer:

8

Step-by-step explanation:

In a regular polygon of n sides, each interior angle measures (n - 2)180/n.

Here, each interior angle measures 135°.

We set the expression equal to 135°, and solve for n, the number of sides.

(n - 2)180/n = 135

Multiply both sides by n.

(n - 2)180 = 135n

180(n - 2) = 135n

Distribute 180 on the left side.

180n - 360 = 135n

Add 360 to both sides.

180n = 135n + 360

Subtract 135n from both sides.

45n = 360

Divide both sides by 45.

n = 360/45

n = 8

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