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Why is it that the total exterior angles of a square are given as 360 degrees when a square has four exterior reflex angles that total 1080 degrees?
Wiki User
∙ 10y ago
Because if you walked around a square you would have to turn four times at 90 degrees which amount to 360 degrees.
Likewise, if you walked around an equilateral triangle you would have to turn three times at 120 degrees which makes 360 degrees.
That is why that for any polygon the total sum of exterior angles are always 360 degrees.
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Answer #1.5:
EVERY angle outside the vertex of EVERY regular polygon, between two of
its sides, is a reflex angle. But that's not the definition of an exterior angle.
An exterior angle is the angle between one side and an EXTENDED adjacent
side. That angle is 90 degrees in a regular quadrilateral, and less than 90 degrees
in a polygon with more than 4 sides. Regardless of how many sides the polygon
has, the exterior angles always add up to 360 degrees, as explained above in
Answer #1.
Wiki User
∙ 10y ago
Ermira Terziu
Because if you walked around a square you would have to turn four times at 90 degrees which amount to 360 degrees.Likewise, if you walked around an equilateral
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Does a rhombus have a reflex angle?
yes it has two * * * * * No, it does not. It cannot.
What is The sum of interior angles of a square?
A square always has a sum of 360 degrees for the interior angles.
What type of angle does a octagon have?
Any - it can be acute, right, obtuse, reflex - take your pick! A regular octagon, on the other hand, will have all internal angles measuring 135 degrees. That is, they will all be obtuse.
Why do all the internal angles of a square equal 360 degrees?
It can be proven that the sum of all the internal angles of a polygon with n sides is (n-2)*180 degrees. In the case of a square, n = 4 and so the angles sum to (4-2)*180 = 2*180 = 360 degrees.
What is the sum of the measures of the interior angles of a regular polygon if each angle measures 90 degrees?
If each angle measures 90 degrees the polygon is a square and so its angles sum to 360 degrees.
Sum of exterior angles of a square?
360 degrees
How many degrees are there in each exterior angle of a square?
Each of the four interior angles of a square is 90 degrees in size, making the exterior angles 270° each (360° - 90°).
What does a rhombus a square and a triangle have in common?
Their exterior angles add up to 360 degrees
Which polygon has the larger exterior angle square or pentagon?
pentagon because it has an obtuse angle and a square has right angles- Actually, a regular pentagon has larger interiorangles, however, for exterior angles, a square beats a regular pentagon, because all exterior angles of a shape equals 360 degrees. A square has 4 angles, and 360/4= 90. A regular pentagon has 5 angles, and 360/5=72. If the pentagon isn't regular, then one exterior angle can be larger than 90 degrees.
How are they they the same paralleogram and square?
They are both quadrilaterals and they both have interior and exterior angles of 360 degrees.
How do you work out the sum of exterior angles for a square?
Each angle of a square is 90 degrees. Subtract that from 360 to get...270 degrees for each of the four exterior angles. Multiply that by 4 to get a total of....1080. I think that's how it works..someone correct me if I'm wrong.
How are the triangle and the square alike?
They are both 2D shapes and have exterior angles that add up to 360 degrees
What is the sum of the interior angles of a regular polygon if each exterior angle measures 90 degrees?
360 degrees and it's probably a square
How are a square a pentagon and a hexagon alike?
They are all polygons whose exterior angles add up to 360 degrees.
Does a square have any reflex angles?
yes it does
What is the sum of the measure of the interior angles of a regular polygon if each exterior angle measures 90 degrees?
360 degrees, it could be a square or a rectangle
What are the angles in a square?
Each interior angle and each exterior angle of a square is a right angle ...i.e., 90 degrees, Î?/2 radians.
