Mathematics
Grade9
Easy

Question

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

  1. 45°
  2. 90°
  3. 180°
  4. 60°

hintHint:

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 angle U 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 angle U.
    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 angle U 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 360 degree  and sum of two consecutive angles is 180 degree . 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

    Grade9
    Mathematics

    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 90 degree and sum of all angles is 360 degree . 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?

    MathematicsGrade9

    Rectangle is a four- sided polygon whose opposite sides are equal and parallel to each other. In rectangle each angle is 90 degree and sum of all angles is 360 degree . 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.

    Grade9
    Mathematics

    The perimeter of LONMP is _______.

    The perimeter of LONMP is _______.

    MathematicsGrade9
    Grade9
    Mathematics

    If angle A B E equals 100 degree, then the measure of angle D A E = _____________.

    If angle A B E equals 100 degree, then the measure of angle D A E = _____________.

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    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.

    MathematicsGrade9
    Grade9
    Mathematics

    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 ____.

    MathematicsGrade9

    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

    Grade9
    Mathematics

    For what values of  x is  a rectangle?

    For what values of  x is  a rectangle?

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    If the measure of DN is 8 cm, then the measure of diagonal PH is ____.

    If the measure of DN is 8 cm, then the measure of diagonal PH is ____.

    MathematicsGrade9
    Grade9
    Mathematics

    Find m italic angle Y T A if STAY is a rectangle.

    Find m italic angle Y T A if STAY is a rectangle.

    MathematicsGrade9
    Grade9
    Mathematics

    If  is a rectangle, what is the measure of angle H?

    If  is a rectangle, what is the measure of angle H?

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    Find the perimeter of the chocolate.