asked 79.2k views
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?

2 Answers

10 votes

Answer:

7

Explanation:

answered
User DotNetInfo
by
8.6k points
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.

answered
User KIRAN K J
by
8.0k points

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