90 x 4, or 360. You can see this in a square, which has 4 90 degree angles. Any time you increase or decrease the length of any of the 4 sides, one angle is increased and another decreases by the same amount. So the total of all four angles will always be 360 degrees.
Interestingly, this also occurs in triangles, but the total for a triangle is 180 degrees.
Chat with our AI personalities
A quadrilateral is inscribed in a circle it means all the vertices of quadrilateral are touching the circle. therefore it is a cyclic quadrilateral and sum of the opposite angles in cyclic quadrilateral is supplementary. suppose if one angle is A then another will be 180 degree - angle A.
Any quadrilateral may be split into two triangles; the sum of internal angles of any triangle is 180 degrees; so the sum of internal angles of a quadrilateral will then be the double of the sum of internal angles of a triangle: 180 x 2 = 360.
Calculate the fourth angle so that the sum of the angles is 360 degrees.Calculate the fourth angle so that the sum of the angles is 360 degrees.Calculate the fourth angle so that the sum of the angles is 360 degrees.Calculate the fourth angle so that the sum of the angles is 360 degrees.
alway sum of angle of qudrilateral is 360 The sum of the angles in a quadrilateral is 360o.
for a+ NEVERIn a parallelogram opposite angles are equal. Thus angle c = angle a = 40o.The sum of all the angles in a quadrilateral is 360o, so:angle a + angle b + angle c + angle d = 360o=> 40o + angle b + 40o + angle d = 360o=> angle b + angle d = 280o.