Mathematics
Easy

Question

# If STUV is a parallelogram, the value of  must be ___________.

Hint:

## 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.