Mathematics
Grade9
Easy

Question

What is the value of m?

  1. 6
  2. 5
  3. 9
  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 m in the given quadrilateral using the properties of the quadrilateral.

The correct answer is: 5


    In the question there is a parallelogram EFHG as shown in the question above.
    Here, we have to find the value of m.
    From the given figure we can say that, FG and EH are the diagonals intersecting at O.
    We know that, the diagonals of a parallelogram bisect each other.
    text  So,  end text
O E equals O H
rightwards double arrow 2 m minus 6 equals 9 minus m
rightwards double arrow 3 space m equals 15
rightwards double arrow straight m equals 5
    Thus, the value of m is 5.
    Therefore, the correct option is b, 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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