Mathematics
Grade9
Easy

Question

text  If WXYZ is a parallelogram, what is the measure of  end text angle Z text  ?  end text

  1. 135o
  2. 45o
  3. 180o
  4. 360o

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

The correct answer is: 135o


    In the question there is a parallelogram WXYZ where the measure of angle Y space i s space 45 degree.
    Since, the consecutive angles of a parallelogram are supplementary.
    text  So,  end text
angle Y plus angle Z equals 180 degree
angle Z equals 180 degree minus angle Y
angle Z equals 180 degree minus 45 degree
angle Z equals 135 degree
    So, the measurement of angle Z space i s space 135 degree.
    Therefore, the correct option is a, i.e., 135 to the power of 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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