Mathematics
Grade9
Easy

Question

If STUV is a parallelogram, then the value of y must be ___________.

  1. 39 degree
  2. 35 degree
  3. 100 degree
  4. 60 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 value of y in the given quadrilateral using the properties of the quadrilateral.

The correct answer is: 100 degree


    In the question there is a parallelogram STUV as shown in the given figure.
    Here, we have to find the value of y.
    Since, the consecutive angles of a parallelogram are supplementary.
    text  So,  end text
angle U plus angle V equals 180 degree
angle V equals 180 degree minus angle U
angle V equals 180 degree minus 70 degree
angle V equals 110 degree space space space space space space space space space space space space space space space space space......................... left parenthesis 1 right parenthesis
A s space g i v e n space i n space t h e space q u e s t i o n comma space
angle V equals y plus 10 space space space space space space space space space space space space space space space space........................... left parenthesis 2 right parenthesis
F r o m space e q. space 1 space a n d space 2 space w e space g e t comma
y plus 10 degree equals 110 degree
y equals 100 degree
    Thus, the value of y is 100 degree.
    Therefore, the correct option is c, i.e., 100 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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