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How many regular polygon have both interior and exterior angles that are integers?
To work out the sum of all the interior angles of a shape, we use the formula: 180(n-2) In this formula, n = the number of sides the polygon has. This formula only works out the sum of the interior angles, so to finish it off, we divide the answer by n. The number you get from that is equal to one interior angle of the particular polygon you put in the formula. To work out the exterior angles, you need to know that: Exterior angle + interior angle = 180 degrees. So to get the exterior angle, all we have to do is take the interior angle from 180 degrees. Triangle: 180(3-2) = 180 degrees 180/3 = 60 degrees 180 - 60 = 120 degrees Interior angle: 60 degrees Exterior angle: 120 degrees Square: 180(4-2) = 360 degrees 360/4 = 90 degrees 180 - 90 = 90 degrees Interior angle: 90 degrees Exterior angle: 90 degrees Pentagon: 180(5-2) = 540 degrees 540/5 = 108 degrees 180 - 108 = 72 degrees Interior angle: 108 degrees Exterior angle: 72 degrees You could do this for a long time and check every single polygon up to a 360 sided shape, but that would take ages. If you think about it logically, we already know that: Triangle: Int angle = 60 degrees Ext angle = 120 degrees Integers? YES Square: Int angle = 90 degrees Ext angle = 90 degrees Integers? YES Pentagon: Int angle = 108 degrees Ext angle = 72 degrees Integers? YES Do that for as many as you can, and you'll get a decent idea of which ones do and which ones don't. Just a hint: The more sides a polygon has, the less chance that there'll be an integer for it's interior and exterior angles.
What is the angle of incidence if a reflected wave bounces off a mirror at an angle of 65?
The angle of incidence is equal to the angle of reflection when a wave reflects off a mirror. Therefore, if the reflected wave bounces off at an angle of 65 degrees, the angle of incidence would also be 65 degrees.
What angle does a plane lift off?
15 degrees
What is the angle of incidence if a reflected wave bounces off a mirror at an angle of 65 degrees?
The angle of incidence would be equal to the angle of reflection. Therefore, the angle of incidence would also be 65 degrees.
What is the angle if a wave bounces off a mirror with the reflection of 55 degrees?
The angle of incidence is also 55 degrees because it is reflected
What are at least 15 or more classifications of angles defined in geometry?
1 degrees, minutes and seconds of an angle 2 acute angle 3 right angle 4 obtuse angle 5 reflex angle 6 interior angle of a polygon 7 exterior angle of a polygon 8 angle of elevation 9 angle of depression 10 corresponding equal angles 11 alternate equal angles 12 supplementary angles of 180 degrees 13 complimentery angles of 90 degrees 14 vertical opposite equal angles 15 subtended radian in a circle 16 earths tilt angle 17 angles transcribed by instruments 18 tangent ratio angle 19 cosine ratio angle 20 sine ratio angle 21 vertex or apex angle 22 angles around a point add to 360 degrees 23 a way out angle to sign off
What would be the angle of incidence for an angle of reflection of 47 degrees?
The angle of incidence would also be 47 degrees. According to the law of reflection, the angle of incidence is equal to the angle of reflection when a ray of light reflects off a surface.
What steepness of a line is called the angle?
An angle is basically a measure of how far off from 180 degrees something is.
How do you find the measure of an exterior angle of a polygon off of one vertex?
1. Use a protractor. 2. If given the interior angle, use the linear pair postulate. (180-interior angle measure) 3. If given that the polygon is regular, divide 360 by the number of angles.
A light wave was reflected off of a mirror at an angle of 10 degrees What was the incident angle?
The incident angle would also be 10 degrees since the angle of reflection is equal to the angle of incidence according to the law of reflection.
What is the angle sum for an 15 sided polygon?
First off do X-2 then (X-2) x 180. There is your answer For example, 15-2 = 13 13 x 180 = 2340. so a 15 sided polygon has an angle sum of 2340.
What is the angle of incidence if a reflected wave bounces off a mirror at an angle of fifty five degrees?
It makes the same angle, on the other side of the normal, at the point of incidence.
