Question
If STUV is a parallelogram, the value of 
must be ___________.
- 45°
- 90°
- 180°
- 60°
Hint:
Polygon is a two- dimensional closed figure which is consist of three or more-line segments. Each polygon has different properties. One of the polygons is quadrilateral. Quadrilateral is a four-sided polygon with four angles and the sum of all angles of a quadrilateral is. Here, we have to find the measure of in the given quadrilateral using the properties of the quadrilateral.
The correct answer is: 90°
In the question there is a parallelogram called STUV.
Here, we have to find value of .
As shown in the diagram in the question, since STUV is a parallelogram whose diagonals are SU & TV.
So, SU and TV intersect and bisect each other.
Both of the diagonals measures 10 units.
As the two diagonals of this parallelogram are equal so we can say that this is a rectangle.
As all the angles of a rectangle are right angle, so we can say that angle U measures 90°.
Thus, the value of is 90°.
Therefore, the correct option is b, i.e., 90°.
Parallelogram is a four-sided polygon whose opposite sides are parallel and equal to each other and the opposite angles are equal to each other. The sum of all angles of a parallelogram is 
and sum of two consecutive angles is 
. The diagonals of a parallelogram bisect each other and the angle into two equal halves. Here, we have to use these properties of a parallelogram and solve the given question.
Related Questions to study
If the length of the suitcase is 12 cm and breadth is 6 cm, what is the perimeter of the suitcase?
Rectangle is a four- sided polygon whose opposite sides are equal and parallel to each other. In rectangle each angle is 
and sum of all angles is . The diagonals are equal in measure and they bisect each other. Here, we have to use the properties of rectangle in order to solve the above question.
If the length of the suitcase is 12 cm and breadth is 6 cm, what is the perimeter of the suitcase?
Rectangle is a four- sided polygon whose opposite sides are equal and parallel to each other. In rectangle each angle is and sum of all angles is . The diagonals are equal in measure and they bisect each other. Here, we have to use the properties of rectangle in order to solve the above question.
The perimeter of LONMP is _______.
The perimeter of LONMP is _______.
If 
, then the measure of 
= _____________.
If , then the measure of = _____________.
In the envelope ACDB, if AD = 7 cm, then find the length of diagonal BC.
In the envelope ACDB, if AD = 7 cm, then find the length of diagonal BC.
The value of g in parallelogram PQRS is ____.
Opposite sides are parallel ( distance between the opposite sides will be equal)
Opposite sides are congruent.
Opposite angles are same and congruent as well.
diagonals of a parallelogram bisect each other.
Each diagonal of a parallelogram separates it into two congruent triangles.
Same-Side interior angles (consecutive angles) are supplementary
The value of g in parallelogram PQRS is ____.
Opposite sides are parallel ( distance between the opposite sides will be equal)
Opposite sides are congruent.
Opposite angles are same and congruent as well.
diagonals of a parallelogram bisect each other.
Each diagonal of a parallelogram separates it into two congruent triangles.
Same-Side interior angles (consecutive angles) are supplementary
if STAY is a rectangle.
?
?
is ___________.
