Mathematics
Grade9
Easy

Question

text  In parallelogram PQRS, what is the value of  end text t text  ?  end text

  1. 9
  2. 10
  3. 5
  4. 1

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 360 degree . Here, we have to find the value of t in the given quadrilateral using the properties of the quadrilateral.

The correct answers are: 9, 5


    In the question there is a parallelogram PQRS as shown in the given figure.
    Here, we have to find the value of t.
    Since, the diagonals of a parallelogram bisect each other.
    text  So,  end text
O P equals O R
2 straight t minus 1 equals 9
2 space t equals 10
t equals 5
    So, the value of t is 5.
    Therefore, the correct option is c, i.e., 5.

    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.

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