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1 vote
1 vote
One interior angle of a convex polygon (a convex polygon is a polygon where all angles

are less than 180 degrees) is 120 degrees. All the other angles are 130 degrees. How many sides
does the polygon have?

User Dave Friedel
by
3.4k points

2 Answers

10 votes
10 votes

Answer:

7

Explanation:

User DotNetInfo
by
3.2k points
9 votes
9 votes

Answer:

7 sides

Explanation:

120 + 130x = 180 * (x+1-2)

120 + 130x = 180x - 180

300 = 50x

x = 6

You get that x = 6, but there is still one angle that equals 120, so you have a 7 sided polygon.

User KIRAN K J
by
4.0k points