0
How many sides has a regular polygon whose interior angle is 11 times its exterior angles?
- The measure of an interior angle in degrees of a regular polygon of n sides is given by the formula: 180 x (n-2) / n
- The measure of an exterior angle in degrees of a regular polygon of n sides is given by the formula: 360/n
- If the interior angle is 11 times the exterior angle, then:
180 (n-2)/n = 11 x 360/n
then: 180 n - 360 = 11 x 360, or
180 n = 12 x 360
that its solution gives n = 24
Accordingly, the answer is that the number of sides of this polygon is 24
What else can I help you with?
How many sides of a regular polygon with interior angles of 178?
Interior angles 178 so exterior angles 2. Number of sides of any regular polygon = 360/exterior angle You polygon has 180 sides. Bet you're glad you didn't have to sketch it!
What regular polygon has interior angle 177?
If interior angles are 177o then exterior angles are 3o. Exterior angle times number of sides is always 360 so the polygon has 120 sides.
What is an exterior and interior angles?
The exterior and interior angles of each vertex of a polygon add up to 180 degrees.
How do you find interior and exterior angles of a polygon?
Use a protractor
What is the measure of one interior angle of a regular convex 31gon?
The easiest way to calculate this is to use the facts thatthe sum of the interior and exterior angles is 180o; andthe sum of the exterior angles of any polygon is 360o.For a regular polygon, each exterior angle will be 360o divided by the number of sides. The interior angle is then 180o - the exterior angle.For a 31-gon:exterior_angle = 360° ÷ 31= 1119/31o⇒ interior_angle = 180° - 1119/31o= 16812/31°≈ 168.39oUse the Interior Angle Formula directlyThe sum of interior angles for a polygon of n sides is (n-2) x 180° and individual angles for a regular polygon will be (n-2) 180°/nPlugging in the value n=31, we have one angle = 29(180)/31 = 168.39°
If the sum of the interior angles of a polygon equals the sum of the exterior angles what is the name of the polygon?
A Regular Polygon
Which regular polygon's interior angles is three times that of its exterior angles?
octagon interior=135 exterior=45
Which regular polygon's interior angles are half that of its exterior angles?
An equilateral triangle.
What type of regular polygon has equal interior and exterior angles?
A quadrilateral.
A regular polygon with interior and exterior angles that equal?
Square or rectangle
What is the sum of the measures of the interior angles of the regular polygon if each exterior measures 120?
Hint: in a regular polygon interior plus exterior = 180o, always.
Each interior angle if a regular polygon measurses 172 degrees how many sides does the polygon have?
The easiest way to solve this is to use the exterior angles of the polygon. The sum of an exterior angle and interior angle is 180o. Also the sum of all the exterior angles of a polygon is 360o. As the polygon is regular, all the interior angles are the same and all the exterior angles are the same. So, for an interior angle of 172o the exterior angle is 180-172 = 8o. The sum of all the exterior angles is 360o so how many 8o make up 360o? 360/8=45. Thus the polygon with interior angles of 172o has 45 sides.
How many sides of a regular polygon with interior angles of 178?
Interior angles 178 so exterior angles 2. Number of sides of any regular polygon = 360/exterior angle You polygon has 180 sides. Bet you're glad you didn't have to sketch it!
How many sides does a regular polygon have if its exterior angles are equal to its interior angles?
4 such as a square
A regular polygon an exterior angle of 30 What is the size of the interior angle?
Exterior angles are supplementary with interior angles, so 180-30=150
What is the sum of the measures of the interior angles of a regular of a regular polygon if each exterior angle measures 120?
If exterior angles are 120 then interior angles must be 60 so you have an equilateral triangle
What are the interior and exterior angles of a regular polygon?
If the polygon has n sides, each exterior angle is 360/n degrees.The interior angle is 180 less exterior angle.
