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What is the angle sum of a quadrilateral?

Updated: 4/28/2022
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13y ago

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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.

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12y ago
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The angle sum of a quadrilateral is 360degrees

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Q: What is the angle sum of a quadrilateral?
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Sum of angles of a quadrilateral?

alway sum of angle of qudrilateral is 360 The sum of the angles in a quadrilateral is 360o.


What are the opposite angles of a quadrilateral inscribed in a circle?

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.


Explain that the sum of interior angle is equal to quadrilateral 360?

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.


If three angles of a quadrilateral measure 90 87 and 90 what is the measure of the fourth angle?

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ABCD is a quadrilateral in which angle A 40 degrees and angle B 150 degrees. Could ABCD be a parallelogram?

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.