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If a regular polygon has 6 sides how many degrees are there in any one of its angles?
Since a regular polygon is a series of straight lines of equal length that eventually join up with the start of the first line, this means that the sum of the angles between each line must sum to 360 degrees. If there are 6 sides in the polygon then the angle between each line is 360 degrees divided by 6 sides = 60 degrees.This kind of regular polygon with 6 sides of equal length has a special name, it is called a hexagon.
How many degrees are there total in the interior angles of a polygon?
Join all the corners to a point inside. For N sides that gives N triangles. Total angles = 180xN. Subtract off the angles at the chosen point (360 deg) to leave the angles at the corners totalling 180x(N-2).
An isosceles triangle is equilateral?
No, isosceles and equilateral are two separate types of triangles. Isosceles triangles have only two congruent sides, while all three sides of an equilateral triangle are congruent.
How do you divide a circle with 9cm diameter in three equal parts?
Construct a circle with a 4.5 radius. The circle's circumference is 360 degrees. So mark out 3 by 120 degrees on the circumference and join them to the centre of the circle which will divide the circle into three equal parts.
What are at least facts and features of a parallelogram?
1) opposite sides are parallel to each other and will never intersect 2) opposite sides are equal in length 3) opposite angles are equal 4) any two adjacent angles add up to 180 degrees 5) can tessellate 6) has 2 lines of symmetry 7) may be a square, rectangle, rhombus or rhomboid 8) if you join the corners using lines ('x' in the centre), the 4 triangles formed will be equal and congruent to one another 9) any line that passes through the midpoint bisects the parallelogram 10) The diagonals (ie. the lines that join the corners) bisect each other
What are the angles of a diamond shape in degrees?
Assuming the diamond shape is like two equilateral triangles joined together at their bases. The top and bottom angles are 60o each, while the two side angles (where they join) are 120o each (60o+60o=120o).
If a regular polygon has 6 sides how many degrees are there in any one of its angles?
Since a regular polygon is a series of straight lines of equal length that eventually join up with the start of the first line, this means that the sum of the angles between each line must sum to 360 degrees. If there are 6 sides in the polygon then the angle between each line is 360 degrees divided by 6 sides = 60 degrees.This kind of regular polygon with 6 sides of equal length has a special name, it is called a hexagon.
How can you physically prove that the interior angles of a quadrilateral add up to 360 degrees without a protractor or using the formula?
Mark the interior angles of the quadrilateral - with an X!Cut the quadrilateral into four - cutting from side to opposite side. Precision is not required but don't cut through an interior angle.Rotate each piece through 180 degrees so that all the marked angles are facing the middle.Slide the pieces together so that they join up to form a 360 degree block.That is the proof.Between them, they cover 360 degrees and they do not overlap. Therefore they must add to exactly 360 degree.Mark the interior angles of the quadrilateral - with an X!Cut the quadrilateral into four - cutting from side to opposite side. Precision is not required but don't cut through an interior angle.Rotate each piece through 180 degrees so that all the marked angles are facing the middle.Slide the pieces together so that they join up to form a 360 degree block.That is the proof.Between them, they cover 360 degrees and they do not overlap. Therefore they must add to exactly 360 degree.Mark the interior angles of the quadrilateral - with an X!Cut the quadrilateral into four - cutting from side to opposite side. Precision is not required but don't cut through an interior angle.Rotate each piece through 180 degrees so that all the marked angles are facing the middle.Slide the pieces together so that they join up to form a 360 degree block.That is the proof.Between them, they cover 360 degrees and they do not overlap. Therefore they must add to exactly 360 degree.Mark the interior angles of the quadrilateral - with an X!Cut the quadrilateral into four - cutting from side to opposite side. Precision is not required but don't cut through an interior angle.Rotate each piece through 180 degrees so that all the marked angles are facing the middle.Slide the pieces together so that they join up to form a 360 degree block.That is the proof.Between them, they cover 360 degrees and they do not overlap. Therefore they must add to exactly 360 degree.
How do you cut a circle into 6 pieces?
Divide the circle's circumference into six 60 degree angles and join the angles to its centre then cut it into 6 equal pieces.
Why do you subtract 2 from n to find the sum of interior angles?
This has to do with the way in which the sum of the angles is derived. First you select a point inside the polygon and then join that point to each of the vertices. For a polygon with n sides, this gives rise to n triangles. The sum of the 3 angles of any triangle is 180 degrees. So the sum of the angles of all the triangles is n*180 degrees. Now, the "outer" angles of these triangles correspond to the interior angles of the polygon. But the sum also includes the angles formed arounf the central point. The sum of all the angles around this central point is 360 degrees. This is not part of the sum of the interior angles of the polygon and so must be subtracted. Thus, the interior angles of a polygon sum to n*180 - 360 degrees or 180*(n- 2) degrees.
In a parallelogram are the diagonals equal?
No, the properties of a paralleogram are as follows:two parallel sidesbisecting diagonalsequal opposite anglesand it does not need to have all equal sides it just needs to have OPPOSITE equal sidesIf the diagonals were equal, the figure would have to be a square, rectangle, or rhombus.No. In fact they are equal only in exceptional circumstances.
How many degrees are there total in the interior angles of a polygon?
Join all the corners to a point inside. For N sides that gives N triangles. Total angles = 180xN. Subtract off the angles at the chosen point (360 deg) to leave the angles at the corners totalling 180x(N-2).
How do you draw a triangle without using a compass or ruler?
You can use a protractor! Draw the baseline and measure the angles and mark them. Then finally join them together!
What was martin Luther kings dream in 1968?
That all would be equal and join together without hate.
How do you divide a circle into 20 equal parts?
Mark out 20 arcs of 18 degrees around its circumference and join them to the circle's centre
What is the sum of the angle measurement of a decagon?
Pick a point around the center of the polygon. Join each vertex to this point. You will now have 10 triangles. The total angle of these 10 triangles is 10x180 degrees. Now you need to subtract the angles of the ten triangles at the center (which is 360 degrees). Therefore total internal angles is (10x180)-360 = 1800-360 which is 1440 degrees.
An isosceles triangle is equilateral?
No, isosceles and equilateral are two separate types of triangles. Isosceles triangles have only two congruent sides, while all three sides of an equilateral triangle are congruent.
