The opposite angles of a quadrilateral inscribed in a circle are supplementary, meaning they add up to 180 degrees. This is due to the property that the sum of the opposite angles of any quadrilateral inscribed in a circle is always 180 degrees. This property can be proven using properties of angles subtended by the same arc in a circle.
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.
In a triangle, the sum of the measures of the angles is 180 degrees.
supplementary angles are angles that have a sum of 180*.another way to remember that its 180* is the two p's in the word make 8.example. 70*+110*= 180* supplementary.Complementary angles add up to 90 degrees.Supplementary angles are two angles whose sum add up to 180 degrees. Can be shown as (180 - x)
2 angles whose sum is 180 are called supplementery angles.an example of supplementary angles are two right angles.=)
No, not necessarily. Think of a rhombus that is not a square. Its opposite angles are equal - either both acute (sum < 180) or both obtuse (sum >180).
Yes. The sum of opposite angles is 180 degrees and that is a necessary and sufficient condition for a quadrilateral to be cyclic.
If both angles are 180, their sum is 360!If both angles are 180, their sum is 360!If both angles are 180, their sum is 360!If both angles are 180, their sum is 360!
The opposite angles of a quadrilateral inscribed in a circle are supplementary, meaning they add up to 180 degrees. This is due to the property that the sum of the opposite angles of any quadrilateral inscribed in a circle is always 180 degrees. This property can be proven using properties of angles subtended by the same arc in a circle.
Yes, any two consecutive angles of a square sum to 180 degrees
Triangle, since the sum of its angles is 180. The sum of the angles of the square, rectangle, and rhombus are all 360.
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.
In a triangle, the sum of the measures of the angles is 180 degrees.
The sum of the interior angles is (102-2)*180 = 18,000 degrees.The sum of the interior angles is (102-2)*180 = 18,000 degrees.The sum of the interior angles is (102-2)*180 = 18,000 degrees.The sum of the interior angles is (102-2)*180 = 18,000 degrees.
Use the fact that the sum of the three angles is 180 degrees.Use the fact that the sum of the three angles is 180 degrees.Use the fact that the sum of the three angles is 180 degrees.Use the fact that the sum of the three angles is 180 degrees.
Supplementary angles have a sum of 180 degrees.
Sum of angles in a regular polygon = (#sides - 2) * 180. Sum of Octagon angles = (8-2) * 180 = 1080