Mathematics
Grade9
Easy

Question

text  The measure of  end text angle y text  is  end text_______________.

  1. 65 degree
  2. 55 degree
  3. 60 degree
  4. 120 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 angle y in the given quadrilateral using the properties of the quadrilateral.

The correct answer is: 120 degree


    In the question there is a figure with some measurements of angles in it using which we have to find the value of y.
    We know that, the consecutive angles of a parallelogram are supplementary.
    text  So, in parallelogram  end text ABCD comma
angle A D C plus angle B A D equals 180 degree
60 degree plus angle y equals 180 degree
angle y equals 120 degree
    So, the value of y is 120 degree.
    Therefore, the correct option is d, i.e., 120 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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