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How do you find the measure of an interior and exterior angle of a 15-gon?
Wiki User
∙ 8y ago
Example: a regular 15-gon
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees.
180 x 13 = 2340
There are fifteen angles.
2340/15 = 156
An interior angle of a regular 15-gon is 156 degrees.
There are two ways to find the exterior angles. The interior and exterior angles add up to 180.
180 - 156 = 24.
The exterior angles of any polygon add up to 360.
360/15 = 24
Wiki User
∙ 8y ago
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How many sides does an equiangular polygon have if the measure of an angle of the polygon exceeds four times the measure of one of it's exterior angles by 30?
Interior angle + Exterior angle = 180 So Interior angle = 180 - Exterior angle Interior angle = 4*Exterior angle + 30 Substitute for Interior angle: 180 - Exterior angle = 4*Exterior angle + 30 Collect like terms: 150 = 5*Exterior angle Divide by 5: Exterior angle = 30 deg Therefore number of sides = 360/30 = 12
What is the measure of each interior and each exterior angle of a regular nonagon?
Each exterior angle: 40 degrees Each interior angle: 140 degrees
The measure of an exterior angle of a triangle is what equal to the measure of either remote interior angle?
never
Give the formulas for finding the number of sides of a regular polygon when given the measure of an interior angle?
180-interior angle = exterior angle 360/exterior angle = number of sides
The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle?
Very rarely.
What is an exterior angle of a triangle and how does the measure of an exterior angle relate to the interior angles?
Exterior angle+interior angle=180 degrees and 180-exterior angle=interior angle
What is the measure of a exterior of an angle of a tringle?
180-interior angle = exterior angle
What is the measure of the supplementary angle of an interior angle?
The measure of the exterior angle.
How do you measure the interior angle of a polygon?
With a protractor or if you know the exterior angle then it's 180 - exterior angle = interior angle
What is the measure of a polygons interior angle?
It is: 180-exterior angle = interior angle
How can you get the measure of an interior angle if you have the measure of the exterior angle of a regular polygon?
It is: 180-exterior angle = interior angle because there are 180 degrees on a straight line
What is the measure of one exterior angle of a decagon?
Each interior angle of a decagon is 144 degrees.An exterior angle is 180 - measure of interior angle.There exterior angle of decagon is 180-144which is equal to-36
How do you measure an exterior angle?
by subtracting the interior angle from 360
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.
Is the measure of an exterior angle of a triangles is less than a remote interior angle?
That depends on what type of triangle it is but in general:- 180-interior angle = exterior angle
How many sides does an equiangular polygon have if the measure of an angle of the polygon exceeds four times the measure of one of it's exterior angles by 30?
Interior angle + Exterior angle = 180 So Interior angle = 180 - Exterior angle Interior angle = 4*Exterior angle + 30 Substitute for Interior angle: 180 - Exterior angle = 4*Exterior angle + 30 Collect like terms: 150 = 5*Exterior angle Divide by 5: Exterior angle = 30 deg Therefore number of sides = 360/30 = 12
What is the measure of the interior and exterior angle of a triangle?
dicl
