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