The sum is two straight angles or 360 degrees.
Always remember that a quadrilateral's (in this case, a parallelogram's) 4 angles must have a sum of 360 degrees. A quadrilateral has a pair of congruent angles. In this case, if a quadrilateral had 2 sides that have 75 degrees, the other 2 must be congruent, and the sum of all 4 angles must be 360.Let x = 1 of the remaining 2 angles (it doesn't matter which one, because they have the same measure)2x + (75+75) = 3602x + 150 = 3602x = 210x = 105The other angles are both 105 degrees.
They measure 105 degrees each.
Any two angles whose measures add up to 180 degrees. For example, opposite angles of a cyclic quadrilateral (quadrilateral whose vertices are on a circle).
364
The sum is two straight angles or 360 degrees.
There are only 4 possible numbers which could be measures of the angles for the quadrilateral. Each of the infinitely many other measures, such as 36.57 degrees, could NOT be the measure.
If you mean a ratio of 7 to 9 then the other two angles are 35 degrees and 45 degrees respectively
A rhombus or a parallelogram
The same again 50 and 130 degrees because a rhombus is a quadrilateral and all quadrilaterals have a total of 360 interior degrees.
4 sides requires Total interior angles of 360 degrees 360-90-90-91= 89
Always remember that a quadrilateral's (in this case, a parallelogram's) 4 angles must have a sum of 360 degrees. A quadrilateral has a pair of congruent angles. In this case, if a quadrilateral had 2 sides that have 75 degrees, the other 2 must be congruent, and the sum of all 4 angles must be 360.Let x = 1 of the remaining 2 angles (it doesn't matter which one, because they have the same measure)2x + (75+75) = 3602x + 150 = 3602x = 210x = 105The other angles are both 105 degrees.
It is a convex quadrilateral, as the remaining angles could be any two angles with a sum of 180 degrees.
All four interior angles in a quadrilateral add up to 360 degrees
This result follows from the theorem that the sum of the angles of a triangle is 180 degrees. Drawing a diagonal in the quadrilateral splits it into two triangles and the angles of the triangles together combine to form the angles of the quadrilateral.
If you cut any quadrilateral along one of its diagonals, the figures formed are two triangles. Since the sum of the angles of a triangle is 180 degrees, then the sum of the angles of two triangles is 2(180) = 360 degrees. For this reason, the sum of the angles of a quadrilateral is 360 degrees.
A rhombus or diamond.