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What is the measure of a regular 10 Gon?
A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144° and they all add up to 1,440° .
What is the measure of a 10 sided polygon?
1440°
In geometry, a decagon (from the Greek δέκα déka and γωνία gonía, “ten angles”) is a ten-sided polygon or 10-gon. The total sum of the interior angles of a simple decagon is 1440°.
What is the measure of an exterior angle of a regular polygon with 10 sides?
36°
In the regular decagon, all angles are equal. The sum of all exterior angles of the regular decagon is 360°. As the number of sides is 10 in a decagon. Therefore each exterior angle is equal to 36°(360° ÷ 10 =36°).
What is the sum of 10 of the interior angles of a regular dodecagon?
1800°
Since the sum of the degrees in a triangle is 180°, the sum of the interior angles of a dodecagon is 10 × 180° = 1800°.
How do you find the measure of one interior angle of 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.
What is the measure of an angle in a regular polygon?
You might already know that the sum of the interior angles of a triangle measures 180 ∘ and that in the special case of an equilateral triangle, each angle measures exactly 60 ∘ . So, our new formula for finding the measure of an angle in a regular polygon is consistent with the rules for angles of triangles that we have known from past lessons.
What is a regular polygon?
A regular polygon refers to a multi-sided convex figure where all sides are equal in length and all angles have equal degree measures.
What is the sum of exterior angles of a regular polygon?
The exterior angles have a sum of 360^@ = (5)72^@. In order to find the value of the interior angle of a regular polygon, the equation is ( (n-2)180^@)/n where n is the number of sides of the regular polygon.
What is the measure of an interior angle of an octagon?
Example 2. To find the measure of an interior angle of a regular octagon, which has 8 sides, apply the formula above as follows: Using our new formulaany angle ∘ = (n − 2) ⋅ 180 ∘ n (8 − 2) ⋅ 180 8 = 135 ∘.