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Assuming that this is a regular pentadecagon, the 360° of the exterior offset angles are spread evenly, so are 24° each. This means the interior angles are 180-24=156°
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If the sum of the interior angle of a polygon equals 4320 degrees what is the measure of each interior angle of the polygon?
Im stuck on that too :/
What is the Exterior Angle Theorem for a Triangle?
An exterior angle of a triangle is equal in measure to the sum of the other two interior angles.
If there a formula for finding the measure of an interior angle of a regular polygon?
Yes there is. You find the sum of the interior angles and then divide by the number of angles. Since being regular tells us that every interior angle has the same measurement, this works.Now to find the sum of the interior angles, let n be the number of sides, the the sum is180 degrees (n-2)For example, a triangle has 3 sides so n is 3 and the sum of its interior angles is 180(3-2) or 180 degreesA square has 180(4-2) or 360 degrees as the sum of its interior angles.A regular pentagon has 180(5-2)=180(3) degrees as the sum of the interior angles.Back to the triangle, since the sum is 180 degree and there are 3 angles, each on has measure 60. Similarly for a square, 360 divided by 4 is 90 and each interior angle has measure 90.
What is the measure of an interior angle for a regular ten-sided polygon?
144o. Sum of exterior angles of a polygon is 360o. Each exterior angle for a regular decagon is 360o / 10 = 36o. Exterior and interior angles are supplementary, that is sum to 180o. Therefore the interior angle of a regular decagon is 180o - 36o = 144o.
What therom states The measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles?
the exterior angle theorem
What is the sum of the exterior angles of a non convex polygons?
The sum is always 360 degrees. Note, though, that when the interior angle is convex, the measure of the exterior angle is negative.The sum is always 360 degrees. Note, though, that when the interior angle is convex, the measure of the exterior angle is negative.The sum is always 360 degrees. Note, though, that when the interior angle is convex, the measure of the exterior angle is negative.The sum is always 360 degrees. Note, though, that when the interior angle is convex, the measure of the exterior angle is negative.
What is the sum of the interior angle measure of an nonagon?
1260
What is the sum of the interior angle of measure of an octagon?
1,080
What is the measure of an angle of a regular dodecagon?
Interior Angle: 150 degrees (Interior Angle Sum: 1800) Exterior Angle: 30 degrees (Exterior Angle Sum: 360)
What is the sum of the interior angle measures of a 15gon?
S of interior angles of ANY n-sided polygon is (2n -4) right angles, so 2 x 30 - 4 = 56, 56 x 90 = 5040 degrees
The measure of an exterior angle of a triangle is equal to the measure of either remote interior angle?
No. The sum of the other two interior angles.
What is the measure of one interior angle on a regular polygon with an interior angle sum of 2160 degrees?
It will have 14 sides and each interior angle will measure 2160/14 degrees
What is the sum of the measure of an interior angle of an hexagon?
Each interior angle is 120o making the total 720o.
How do you do the sum of interior angles?
-- Measure, calculate, or somehow get the measure of each interior angle. -- Add them all up to get one number which is their sum. -- That one number is the sum of the interior angles.
What is the sum of the interior angle measure of a parallelogram?
A parallelogram has four sides. All four sided figures have a sum of the interior angle measures equal to 360°.
What is the sum of the interior angle measure of a regular nonagan?
1260 degrees
What is the sum of interior angle measure of a 20-gon?
3240 degrees
