if each interior angle of a regular convex polygon is three times the measure of each exterior angle, what kind of polygon is it

Question

Talja [164]

4 years ago

11

if each interior angle of a regular convex polygon is three times the measure of each exterior angle, what kind of polygon is it

?

Mathematics

1 answer:

Julli [10] · Answer 1 · 2021-11-20T06:22:00+03:00

The interior angle of a regular polygon is equal to 180(n - 2)/n. The exterior angle is always equal to 360/n. Using the given relationship from the item above, the equation that can be formed is,

180(n - 2)/ n = 3(360/n)

The value of n from the equation is 8. The polygon with 8 sides is an octagon.

<em>Answer: OCTAGON</em>