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What is the measure if each interior angle of a regular polygon with 15 sides?
Two ways to calculate the required angle. 1) Use the formula S = 2n - 4 right angles S is the sum of the interior angles of a polygon, n is the number of sides. Then, S = (2 x 15) - 4 = 26 right angles = 26 x 90 = 2340° So, each interior angle of a regular 15-sided polygon measures 2340/15 = 156° 2) Calculate the exterior angle and subtract from 180° to obtain the interior angle. Sum of exterior angles = 360° Each exterior angle measures, 360/15 = 24° Each interior angle measures, 180 - 24 = 156°
What polygon has two acute angles?
A right angle triangle
How many sides does a regular polygon have if each exterior angle is 22.5 degrees?
Oh, dude, you're hitting me with some math here. So, if each exterior angle is 22.5 degrees, that means the interior angle is 180 - 22.5 = 157.5 degrees. And since the sum of interior angles in a polygon is (n-2) * 180, you just divide that by 157.5 to find out that it's an 11-sided polygon. Math can be fun, right?
What are the characteristics of polygons?
A polygon is any plane figure bounded only by straight lines. A triangle is therefore a polygon with three sides and a pentagon is a polygon with five sides. A convex polygon has no interior angle greater than 180° . A re-entrant polygon has at least one interior angle greater than 180° . A regular polygon has all its sides and angles equal. The sum of the interior angles of a polygon is 2n - 4 right angles (n is the number of sides). The sum of the exterior angles of a convex polygon is 360° .
A polygon has interior angle 165 degrees how many sides has it?
A regular polygon with interior angles measuring 165 degrees each will have exterior angles measuring 15 degrees each, since each pair of interior/exterior angles forms a linear pair whose measures total 180 degrees. For any polygon, the sum of the exterior angles is 360 degrees. You can find how many sides, and therefore vertices, in the polygon by dividing 360 by 15. In this case, the polygon has 360/15 = 24 sides.
If a regular polygon has exterior angles that measure 60 degrees how many sides does the polygon have?
Exterior angle 60 therefore interior angle at that point 180 - 60 = 120 Figure is a hexagon (Internal angles = 12 - 4 right angles or 720 degrees) ?All polygons have exterior angles that sum to 360 degrees. An exterior angle of a polygon is found by "extending" one of the sides and measuring the angle between that extension and the "next" side. As the polygon in question is regular and has exterior angles of 60 degrees, it has 360/60 sides, or 6 sides.
What is the interior angle and exterior angle of a seven sided polygon?
Interior angles total ((2 x 7) - 4) right angles which is 900 degrees. Exterior angles total 360 degrees. This is true of all convex polygons.
Is the measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle?
No. The interior angle and exterior angle at the same vertex are supplementary. Each of them is (180 degrees minus the other). In rectangles (including squares), the interior and exterior angles at each vertex are both right angles.
What is the measure of an interior angle and an exterior angle of a nonagon?
The sum of the interior angles of a polygon is 2n-4 Right Angles For a nonagon (2x9)-4 RAs = 14x90°=1260° To find the interior angle of a regular nonagon, divide this by 9 which gives 140° To find the exterior angle, subtract this from 180 and you get 40°. The sum of the exterior angles of a polygon is 360°, so for a regular polygon you can also divide this by the number of sides, which in this case also gives: 360° ÷ 9 = 40°
Interior and exterior angles on a 10 sided polygon?
Interior angles of n-sided polygon total (2n - 4) right angles, in this case 16 x 90 degrees, so each angle is 16 x 90/10 ie 144 degrees. Exterior angle is 180 - 144 ie 36 degrees.
What is the measures of of the interior angles if and the right angle on the exterior angle is 125?
A right angle is not 125
How do you find the interior angle of a regular octagon?
2 methods: a: Interior angle = 180 - Exterior angle. The exterior angles of a regular n-sided polygon are equal to 360/n degrees. In this case n = 8 so Exterior angles are 45 degrees, making the interior angles 145 degrees; b: Total of interior angles of n-sided polygon is (2n -4) right angles, or 180n - 360 degrees. When n = 8, total of angles is 180 x 8 - 360 or 1080 degrees and each angle is 1080/8 or 145 degrees.
Is a rectangle a polygon and has a right angle?
yes. it has 4 right angles.
What is the measure if each interior angle of a regular polygon with 15 sides?
Two ways to calculate the required angle. 1) Use the formula S = 2n - 4 right angles S is the sum of the interior angles of a polygon, n is the number of sides. Then, S = (2 x 15) - 4 = 26 right angles = 26 x 90 = 2340° So, each interior angle of a regular 15-sided polygon measures 2340/15 = 156° 2) Calculate the exterior angle and subtract from 180° to obtain the interior angle. Sum of exterior angles = 360° Each exterior angle measures, 360/15 = 24° Each interior angle measures, 180 - 24 = 156°
How do you determine the measure of an exterior angle of a regular 8 sided polygon?
Interior angles total (2n - 4) right angles where n is number of sides so each interior angle is 12 x 90/8 ie 135o. Exterior angle is therefore 45o or 225o, depending on where you live.
What polygon with no right angles?
All polygons can have right angles except for circle and ovulated shapes. The only 'regular polygon' that has a right angle is the quadrilateral.
What polygon has two acute angles?
A right angle triangle
