Mathematics
Grade9
Easy

Question

The measure of  is _______.

  1. 20 degree
  2. 12 degree
  3. 27 degree
  4. 36 degree

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 f in the given quadrilateral using the properties of the quadrilateral.

The correct answer is: 20 degree


    In the question there is a parallelogram PQRS as shown in the figure above.
    Here, we have to find the value of f.
    Since, the opposite angles of a parallelogram are equal.
    text  So,  end text
angle S equals angle Q
rightwards double arrow 3 f minus 8 degree equals 52 degree
rightwards double arrow 3 f equals 60 degree
rightwards double arrow f equals 20 degree
    So. the value of f is 20 degree.
    Therefore, the correct option is a, i.e., 20 degree.

    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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