Advertisements
Advertisements
प्रश्न
Is it possible to have a polygon whose each interior angle is 105°?
उत्तर
Given each interior angle = 105°
So, each exterior angle = 180° - 105° = 75°
Thus, the number of sides of the polygon
= `(360°)/"Each exterior angle"`
= `(360°)/(75°)`
= `4(4)/(5)`
which is not a natural number
Therefore, no polygon is possible whose each interior angle is 105°.
APPEARS IN
संबंधित प्रश्न
The angles of a pentagon are in the ratio 4: 8: 6: 4: 5.
Find each angle of the pentagon.
One angle of a six-sided polygon is 140o and the other angles are equal.
Find the measure of each equal angle.
The difference between an exterior angle of (n - 1) sided regular polygon and an exterior angle of (n + 2) sided regular polygon is 6° find the value of n.
Three angles of a seven-sided polygon are 132o each and the remaining four angles are equal. Find the value of each equal angle.
Find the sum of the interior angles of a polygon of: 12 sides
Find each exterior angle of a regular polygon of: 15 sides
KL, LM and MN are three consecutive sides of a regular polygon. If ∠LKM = 20°, find the interior angle of the polygon and the number of sides of the polygon.
Find the value of each angle of an octagon if two of its angles are 148° and 152° and the remaining angles are all equal.
The difference between an exterior angle of (n - 1) sided regular polygon and an exterior angle of (n + 2) sided regular polygon is 6°. Find the value of n.
Each interior angle of a regular polygon is 162°. Another regular polygon has number of sides double the first polygon. Find each interior angle of the second polygon.
