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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?
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.
What else can I help you with?
Does a rhombus have a reflex angle?
A rhombus is a quadrilateral with all sides of equal length. A reflex angle is an angle greater than 180 degrees. A rhombus does not have a reflex angle because the sum of its interior angles is always 360 degrees, which means all its angles are less than 180 degrees.
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.
Does a quadrilateral with four equal sides have to be a square?
NO!!! It can be a Rhombus. Square ' 4 equal sides and four angles at 90 degrees. Rhombus' 4 equal sides, but no angles at 90 degrees.
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.
Does a square have any reflex angles?
Yes!!!! They are the four 'outside' angles of the square. Each angle is 270 degrees , which are REFLEX.
Sum of exterior angles of a square?
360 degrees
Does a square have right angles in inside and outside?
4 INSIDE right angles. and 4 (outside) REFLEX right angles.
How many exterior angles does a square have?
A square has four exterior angles, one at each of its four corners. Each exterior angle is formed by extending one side of the square, and since a square has four sides, it consequently has four exterior angles. All of these exterior angles are equal, measuring 90 degrees each.
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.
What best describes a regular polygon when the measure of each exterior angle is 90?
A regular polygon with each exterior angle measuring 90 degrees is a square. This is because the sum of the exterior angles of any polygon is 360 degrees, and a polygon with exterior angles of 90 degrees would have four angles (360/90 = 4), indicating it has four sides. Therefore, the polygon is a regular quadrilateral, specifically a square, where all sides and angles are equal.
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
Does a rhombus have a reflex angle?
A rhombus is a quadrilateral with all sides of equal length. A reflex angle is an angle greater than 180 degrees. A rhombus does not have a reflex angle because the sum of its interior angles is always 360 degrees, which means all its angles are less than 180 degrees.
