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.

    Related Questions to study

    Grade9
    Mathematics

    The measure of side AB is ______.

    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.

    The measure of side AB is ______.

    MathematicsGrade9

    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.

    Grade9
    Mathematics

    If AEDC is a rectangle, then the length of AE is ____.

    If AEDC is a rectangle, then the length of AE is ____.

    MathematicsGrade9
    Grade9
    Mathematics

    What is the measure of angle SKT?

    properties of rectangle
    opposite sides are parallel and equal to each other.
    Each interior angle is equal to 90 degrees.
    The sum of all the interior angles is equal to 360 degrees.
    diagonals bisect each other.
    Both the diagonals have the same length.

    What is the measure of angle SKT?

    MathematicsGrade9

    properties of rectangle
    opposite sides are parallel and equal to each other.
    Each interior angle is equal to 90 degrees.
    The sum of all the interior angles is equal to 360 degrees.
    diagonals bisect each other.
    Both the diagonals have the same length.

    parallel
    Grade9
    Mathematics

    The value of y is ______.

    The value of y is ______.

    MathematicsGrade9
    Grade9
    Mathematics

    The value of y is ______.

    The value of y is ______.

    MathematicsGrade9
    Grade9
    Mathematics

    In rectangle ABCD, the measure of y is ______.

    In rectangle ABCD, the measure of y is ______.

    MathematicsGrade9
    parallel
    Grade9
    Mathematics

    Which of the following is not true about a rectangle?

    Which of the following is not true about a rectangle?

    MathematicsGrade9
    Grade9
    Mathematics

    The measure of angle JKM is _______.

    The measure of angle JKM is _______.

    MathematicsGrade9
    Grade9
    Mathematics

    The length of side MN is ______.

    The length of side MN is ______.