1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard VIII
Mathematics
Angle Sum Property of a Polygon
If the sum of...
Question
If the sum of all interior angles of a polygon is
3240
o
, how many sides has the polygon?
Open in App
Solution
We know that
sum of all interior angles of a
n
−
g
o
n
=
(
n
−
2
)
×
180
o
.
Thus
(
n
−
2
)
×
180
=
3240
.
This gives
n
−
2
=
18
. Hence
n
=
20
.
Suggest Corrections
0
Similar questions
Q.
How many sides does a polygon have, if the sum of all the interior angles of the polygon is 720?
Q.
If the sum of interior angles of a polygon is 1080°, then the polygon has ____ sides.
Q.
Sum of the interior angles of a regular polygon is
1620
∘
. How many sides does this polygon have?
Q.
How many sides does a polygon have if the sum of the interior angles is:
900
o
Q.
How many sides does a polygon have if the sum of the interior angles is
540
o
?
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Introduction to Quadrilaterals
MATHEMATICS
Watch in App
Explore more
Angle Sum Property of a Polygon
Standard VIII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app