1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard VIII
Mathematics
Polygons on the Basis of Regularity
How many side...
Question
How many sides does a regular polygon have if each of its interior angles is
165
∘
?
Open in App
Solution
Measure of each interior angle
=
165
∘
So, measure of each exterior angle
=
180
∘
−
165
∘
=
15
∘
Sum of exterior angles of any polygon
=
360
∘
So, number of sides
=
360
15
=
24
Hence, the polygon has
24
sides.
Suggest Corrections
4
Similar questions
Q.
Question 4
How many sides does a regular polygon have if each of its interior angles is
165
∘
?
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
Revisiting Geometry
MATHEMATICS
Watch in App
Explore more
Polygons on the Basis of Regularity
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
Solve
Textbooks
Question Papers
Install app