Table of Contents
- 1 What polygon has an interior angle of 135 degrees?
- 2 How many sides does a regular polygon have if it has an interior angle of 130 degrees?
- 3 How many sides has a regular polygon whose interior angles are 120 degree each?
- 4 Can a regular polygon have an interior angle of 160?
- 5 How many sides does a polygon have with an interior angle of 140?
- 6 What is the sum of the interior angles of a polygon?
- 7 Which is greater interior angle or exterior angle?
What polygon has an interior angle of 135 degrees?
octagon
Summary: An interior angle of a regular polygon has a measure of 135°, it is an octagon.
Can a regular polygon have an interior angle of 135?
Hence, it is possible to have a regular polygon whose interior angle is 135°. Hence, it is not possible to have a regular polygon having interior angle is of 138°.
How many sides does a regular polygon have if it has an interior angle of 130 degrees?
A regular polygon, one of whose angles has measure 130. (n-2) 180 = 130 – 1307 – Bon .. 500 =360 n=7.2 sides Not possible 2.
How do you find the sides of a regular polygon with one interior angle?
Subtract the interior angle from 180. For example, if the interior angle was 165, subtracting it from 180 would yield 15. Divide 360 by the difference of the angle and 180 degrees. For the example, 360 divided by 15 equals 24, which is the number of sides of the polygon.
How many sides has a regular polygon whose interior angles are 120 degree each?
6 sides
Answer: If an interior angle of a regular polygon measures 120°, it has 6 sides (Hexagon). Let us solve it step by step. Explanation: Given that, one interior angle is 120 degrees.
How many sides does a regular interior polygon?
Thus, the regular polygon with interior angle each measuring \[165^\circ \] is a 24-sided polygon. Hence, our option A is correct. Note: We have to always remember that the sum of all the exterior angles in any polygon is 360 degree.
Can a regular polygon have an interior angle of 160?
If the interior angle of a regular polygon is 160 degrees, then the exterior angle is 20 degrees. The sum of all exterior angles is 360 degrees so there must be 360/20 sides = 18 sides.
How many sides does a regular polygon have if its interior angle is 120 degree?
How many sides does a polygon have with an interior angle of 140?
9
What is the name of a polygon whose interior angles are each 140°? Subtract both sides by 180°n. = 9. Therefore, the number of sides is 9 (nonagon).
How many sides does a regular polygon have with each angle?
Note that the formula for the number of degrees of an n-sided convex polygon is. If the polygon is regular, the interior measure of each angle is. If each interior angle is 135 degrees, then we can plug 135 for the interior measure and solve for n: Thus, a regular octagon has interior angle measure of 135 degrees.
What is the sum of the interior angles of a polygon?
The sum of the interior angles of a p-sided polygon is (p-2)×180°. So each angle of a regular p-sided polygon is (p-2)/p×180°. Let n be the number of sides of a regular polygon whose interior angles are each 135°.
What is the interior measure of a regular polygon?
If the polygon is regular, the interior measure of each angle is. If each interior angle is 135 degrees, then we can plug 135 for the interior measure and solve for n: Thus, a regular octagon has interior angle measure of 135 degrees.
Which is greater interior angle or exterior angle?
In a regular polygon each interior angle is 135° greater than each exterior angle. How many sides has the polygon? Geometry Angles and Intersecting Lines Angles with Triangles and Polygons 1 Answer