Mathematics
Grade9
Easy

Question

If ABCD is a parallelogram, then the value of y is ________.

  1. 6
  2. 5
  3. 3
  4. 7

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 measure of y in the given quadrilateral using the properties of the quadrilateral.

The correct answer is: 7


    In the question there is a parallelogram ABCD as shown in the figure above.
    Here, we have to find the value of y.
    Since, the opposite sides of a parallelogram are equal.
    So, AB=CD
    rightwards double arrow 3 space y plus 4 equals 25
rightwards double arrow 3 space y equals 21
rightwards double arrow y equals 7
    Thus, the value of y is 7.
    Therefore, the correct option is d, i.e., 7.

    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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