Question

Measure of one external angle of a regular polygon is greater than the measure of one internal angle.
a)What is that regular polygon?
b)what is the measure of one external angle?
c)What is the measure of one internal angle?​

Answer 1

Answer:

Given ratio of exterior to interior angle of regular polygon is 1:5

Let 'n' be number of sides of polygon

then

n

180(n−2)

n

360

=

5

1

(Given)

n−2

2

=

5

1

⇒n−2=10⇒[n=12]

Hence polygon has 12 sides.

Answered By

toppr

Answer 2

Answer:

a) triangle(equilateral triangle)

b) the measure of one external angle in equilateral triangle is 120 degree

c) the measure of one internal angle is 60 degree