Question

Friend made this for me i need help

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?

Answer 1

7 sides

Explanation:

The sum of exterior angles of a polygon is 360°.

Now, exterior angle of the point with interior angle of 120 is; 180 - 120 = 60 (angle on a straight line)

For the others, it is; 180 - 130 = 50

Thus;

60 + 50n = 360

50n = 360 - 60

50n = 300

n = 300/50

n = 6

Thus,number of sides = 6 +1 = 7 sides