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What is the sum of the interior angles of a polygon is three times the sum of the exterior?
Wiki User
∙ 11y ago
Sum of the exterior angles is 360 degrees. So the sum of the interior angles must be 3*360 = 1080 degrees.
Wiki User
∙ 11y ago
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What is sum of the interior angles of a polygon with three sides?
the sum of the interior angles of a 3 sided polygon is = 180 degrees. the sum of the interior angles of any polygon is given by 540/n. in this case n is = 3
What angles do a scalene triangle have?
-- A scalene triangle has three interior angles and three exterior angles. -- The sum of the interior angles is 180 degrees, and no two of them are equal. -- The sum of the exterior angles is also 180 degrees, and no two of them are equal. -- The sum of each interior angle and its adjacent exterior angle is 180 degrees.
What is the sum of the interior angles of a three-sided polygon?
The 3 interior angles of a 3 sided polygon which is a triangle add up to 180 degrees.
How many sides does a polygon have with interior angles of 60?
Three: it is an equilateral triangle.
Is the exterior angle of a triangle is 180 degrees?
The triangle has three exterior angles. Added together, their total is 180 degrees.(Same as the total of the three interior angles when they're added together.)
Which regular polygon's interior angles is three times that of its exterior angles?
octagon interior=135 exterior=45
A figure has 3 sides What is the sum of its exterior angles?
360A triangle is a polygon with three sides and three angles. The sum of the interior angles of a polygon equals 180(n - 2), where n is the number of sides.180(3 - 2) = 180°Assuming all the angles in the triangle are congruent, find the measure of one interior angle.180° ÷ 3 = 60°If an interior angle equals 60°, then its corresponding exterior angle will equal 120° because the angles are supplementary (their sum is 180°).120° × 3 = 360°Therefore, the sum of the exterior angles of a triangle is 360°.study island
What is sum of the interior angles of a polygon with three sides?
the sum of the interior angles of a 3 sided polygon is = 180 degrees. the sum of the interior angles of any polygon is given by 540/n. in this case n is = 3
What angles do a scalene triangle have?
-- A scalene triangle has three interior angles and three exterior angles. -- The sum of the interior angles is 180 degrees, and no two of them are equal. -- The sum of the exterior angles is also 180 degrees, and no two of them are equal. -- The sum of each interior angle and its adjacent exterior angle is 180 degrees.
What is the sum of the interior angles of a three-sided polygon?
The 3 interior angles of a 3 sided polygon which is a triangle add up to 180 degrees.
How many interior angles does an irregular polygon have?
Three or more.
The measures of the three interior angles of a triangle are 85 20 and 75 Determine the measures of the three exterior angles?
The measures of the three exterior angles would be 95, 160 and 105.
How many sides does a polygon have with interior angles of 60?
Three: it is an equilateral triangle.
How many sides in a polygon whose interior angle is 174?
It could be three. It could be a triangle with angles of 174, 3 and 3 degrees. If it is a REGULAR polygon, though, there is a more specific answer. Interior angle = 174 deg implies exterior angle = 6 deg. Sum of ext angles = 360 deg so there must be 360/6 = 60 sides to the polygon.
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° .
In a regular polygon the ratio of the measure of the exterior angle to the measure of the adjacent interior angle is 4 to 1 how many sides does the polygon have Please show your work?
This is not possible for a normal regular polygon. (A regular polygon has all equal angles and all equal sides. A normal polygon has no intersecting edges.)The smallest regular polygon is an equilateral triangle (a three sided polygon), whose exterior angle measure is twice the measure of its interior angle. A four-sided polygon (a square) has equal interior and exterior angle measures of 90⁰. Starting from a five-sided polygon, the exterior angle measure is smaller than the interior angle measure.Let's assume that the given information is true. So we need to verify it.Let's say that the interior angle of the regular polygon has a measure of x degrees, and the measure of the exterior angle of that polygon is 4x degrees.Since the sum of the interior and the exterior angles of the polygon is 180 degrees (a straight line), the interior angle is 36 degrees.4x + x = 1805x = 1805x/5 = 180/5x = 36The sum of the angles of a polygon = 180⁰(n - 2), where n is the number of the sides of the polygon.The measure of one of the angles of a polygon = 180⁰(n - 2)/n. Substituting the angle measure of 36⁰ into this formula, we have:36⁰ = 180⁰(n - 2)/n (multiply by n to both sides)36⁰n = 180⁰(n - 2)36⁰n = 180⁰n - 360⁰ (add 360⁰ and subtract 36⁰n to both sides)360⁰ = 144⁰n (divide by 144⁰ to both sides)2.5 = n !!That means that a such normal polygon does not exist.
Which polygon has three interior angles each measuring 60 degrees?
An equilateral triangle.
