Mathematics
Grade9
Easy

Question

The value of x is ____________.

  1. 33°
  2. 45°
  3. 12°
  4. 90°

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

The correct answer is: 33°


    In the question there is a rectangle called WXYZ using which we have to find the value x.
    In the given figure it is shown that, XZ is the diagonal of the rectangle called WXYZ.
    As we know that, the diagonal of a rectangle bisects the angle into two equal halves. So, angle WZX and angle XZY are equal.
    As, the measure of angles of a rectangle is 90°.
    So,
    angle W Z X plus angle X Z Y equals 90 degree
x minus 12 degree plus 45 degree equals 90 degree
x equals 33 degree
    Thus, the value of x is 33 to the power of ring operator.
    Therefore, the correct option is a, i.e., 33 to the power of ring operator.

    Rectangle is a four- sided polygon whose opposite sides are equal and parallel to each other. In rectangle each angle is 90 degree and sum of all angles is 360 degree . The diagonals are equal in measure and they bisect each other. Here, we have to use the properties of rectangle in order to solve the above question.

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