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Which of the polygon has its angle sum as 90 degree?

Which of the polygon has its angle sum as 90 degree?

A regular polygon has all its interior angles equal to each other. For example, a square has all its interior angles equal to the right angle or 90 degrees….Sum of Interior Angles of a Polygon.

Polygon Name Number of Interior Angles Sum of Interior Angles = (n-2) x 180°
Octagon 8 1080°
Nonagon 9 1260°
Decagon 10 1440°

How many sides does a regular polygon have if each interior angle measures 90 ∘ ∘?

BRIAN M. The polygon will have 40 sides.

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How many sides does a polygon have if each of its interior angle is 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 are there in a regular polygon whose each interior angle is equal to 150?

12
Therefore, the number of sides of the regular polygon with interior angle 150∘ is 12.

What is the polygon exterior angle sum theorem?

If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360° . The sum of the measures of the exterior angles is the difference between the sum of measures of the linear pairs and the sum of measures of the interior angles. …

How many sides does 90 have?

A regular polygon will have 4 sides if each exterior angle measures 90 degrees.

What is an interior angle of 90 degrees?

By definition, all the interior angles of a square are right angles — That means that they are all 90 degrees.

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How many sides does a polygon have if the sum of the interior angles is 1440 {\ circ ∘?

10 sided
The sum of the measures of the interior angles of a decagon (10 sided polygon) is 1,440.

Is it possible to have a quadrilateral whose Each interior angle measures 90 degree?

A rectangle is one kind of quadrilateral with four right angles. This means each angle in a rectangle measures 90 degrees. Another property of a rectangle is that opposite sides are parallel to each other and equal in length.

What is the measure of one angle in a regular polygon?

A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is ( n – 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: ( n – 2) * 180 / n.

How many sides does a regular polygon have?

The sum of the interior angles of a regular polygon is given by: Where n is the number of sides. If the sum of interior angles is S, then each angle is: We are given 150∘ for each angles. So, The polygon has 12 sides.

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How many angles does a 150 degree polygon have?

A regular polygon has angles of size 150 degrees each. How many sides has the polygon? The sum of the interior angles of a regular polygon is given by: Where n is the number of sides. If the sum of interior angles is S, then each angle is: We are given 150∘ for each angles. So, The polygon has 12 sides.

What is the sum of interior angles of a 10 sided polygon?

Q.3: What is the sum of interior angles of a 10-sided polygon? Answer: Given, Number of sides, n = 10. Sum of interior angles = (10 – 2) x 180° = 8 x 180° = 1440°. Practise Questions. Find the number of sides of a polygon, if each angle is equal to 135 degrees. What is the sum of interior angles of a nonagon?