Mathematics
Grade9
Easy

Question

Find the measure of angle X Y V if WXYZ is a square.

  1. 122°
  2. 32°
  3. 58°
  4. 148°

hintHint:

All the vertices of a square are 90º.
∠XYZ=90°
∠XYZ=∠XYV+∠VYZ
So, XYV+VYZ=90°
XYV+32°=90°
XYV=90°-32°
XYV=58°.

The correct answer is: 58°


    Given, VYZ=32° and asked to find the value of angle ∠XYV. As we know value of each angle in square is 90o

    The angle XYV=58° obtained by subtracting the ∠VYZ from total angle.

    Related Questions to study

    Grade9
    Mathematics

    If SOAP is a square, then the length of diagonal OP is _______.

    As we know diagonals of square are equal so we compared the given diagonals and obtained the value of x.

    If SOAP is a square, then the length of diagonal OP is _______.

    MathematicsGrade9

    As we know diagonals of square are equal so we compared the given diagonals and obtained the value of x.

    Grade9
    Mathematics

    Find the perimeter of the board if each side is 1.2 m long.

    The perimeter of the board=4.8m

    Find the perimeter of the board if each side is 1.2 m long.

    MathematicsGrade9

    The perimeter of the board=4.8m

    Grade9
    Mathematics

    What is the value of p?

    The value of p is 3.

    What is the value of p?

    MathematicsGrade9

    The value of p is 3.

    parallel
    Grade9
    Mathematics

    What is the measure of angle R P Q if PQRS is a rectangle?

     

    Therefore, angle of ∠RPQ=43°.

    What is the measure of angle R P Q if PQRS is a rectangle?

     

    MathematicsGrade9

    Therefore, angle of ∠RPQ=43°.

    Grade9
    Mathematics

    If PQRS is a rhombus, then the value of k is _________.

    Therefore, the value of k is 1 over 12

    If PQRS is a rhombus, then the value of k is _________.

    MathematicsGrade9

    Therefore, the value of k is 1 over 12

    Grade9
    Mathematics

    The measure of CE is ____________.

    A rhombus is a quadrilateral with 4 equal sides which make angles not equal to 90 degrees with each other. Diagonals of a rhombus are perpendicular bisectors of each other and bisectors of the angles of the rhombus.

    The measure of CE is ____________.

    MathematicsGrade9

    A rhombus is a quadrilateral with 4 equal sides which make angles not equal to 90 degrees with each other. Diagonals of a rhombus are perpendicular bisectors of each other and bisectors of the angles of the rhombus.

    parallel
    Grade9
    Mathematics

    The value of p is _________.

    A rhombus is a quadrilateral with 4 equal sides which make angles not equal to 90 degrees with each other.
    diagonals of a rhombus are perpendicular bisectors of each other and bisectors of the angles of the rhombus.

    The value of p is _________.

    MathematicsGrade9

    A rhombus is a quadrilateral with 4 equal sides which make angles not equal to 90 degrees with each other.
    diagonals of a rhombus are perpendicular bisectors of each other and bisectors of the angles of the rhombus.

    Grade9
    Mathematics

    The value of k is _______.

    The sum of the angles of a triangle is 180°.

    The value of k is _______.

    MathematicsGrade9

    The sum of the angles of a triangle is 180°.

    Grade9
    Mathematics

    If PQRS is a rhombus, then the length of side PS is _____.

    A rhombus is a quadrilateral with 4 equal sides which make angles not equal to 90 degrees with each other.
    diagonals of a rhombus are perpendicular bisectors of each other and bisectors of the angles of the rhombus.

    If PQRS is a rhombus, then the length of side PS is _____.

    MathematicsGrade9

    A rhombus is a quadrilateral with 4 equal sides which make angles not equal to 90 degrees with each other.
    diagonals of a rhombus are perpendicular bisectors of each other and bisectors of the angles of the rhombus.

    parallel
    Grade9
    Mathematics

    What is the measure of angle B ?

     

    Therefore the measure of ∠B is 20°

    What is the measure of angle B ?

     

    MathematicsGrade9

    Therefore the measure of ∠B is 20°

    Grade9
    Mathematics

    What must be the value of  if UVWX is a rhombus?

    A rhombus is a quadrilateral with 4 equal sides which make angles not equal to 90 degrees with each other.
    diagonals of a rhombus are perpendicular bisectors of each other and bisectors of the angles of the rhombus.

    What must be the value of  if UVWX is a rhombus?

    MathematicsGrade9

    A rhombus is a quadrilateral with 4 equal sides which make angles not equal to 90 degrees with each other.
    diagonals of a rhombus are perpendicular bisectors of each other and bisectors of the angles of the rhombus.

    Grade9
    Mathematics

    If KL=6 cm, the perimeter of JKLM is _______.

    A rhombus is a quadrilateral with 4 equal sides which make angles not equal to 90 degrees with each other.
    diagonals of a rhombus are perpendicular bisectors of each other and bisectors of the angles of the rhombus.

    If KL=6 cm, the perimeter of JKLM is _______.

    MathematicsGrade9

    A rhombus is a quadrilateral with 4 equal sides which make angles not equal to 90 degrees with each other.
    diagonals of a rhombus are perpendicular bisectors of each other and bisectors of the angles of the rhombus.

    parallel
    Grade9
    Mathematics

    If angle A B S equals 60 degree, then the measure of angle D B S equals _________.

    A rhombus is a quadrilateral with 4 equal sides which make angles not equal to 90 degrees with each other.
    diagonals of a rhombus are perpendicular bisectors of each other and bisectors of the angles of the rhombus.

    If angle A B S equals 60 degree, then the measure of angle D B S equals _________.

    MathematicsGrade9

    A rhombus is a quadrilateral with 4 equal sides which make angles not equal to 90 degrees with each other.
    diagonals of a rhombus are perpendicular bisectors of each other and bisectors of the angles of the rhombus.

    Grade9
    Mathematics

    What is the value of x?

    Using the properties of parallelograms, opposite sides are equal in a parallelogram.
    Here, AB = CD and AD = BC.
    19-x = 11
    x = 19-11
    x = 8

    What is the value of x?

    MathematicsGrade9

    Using the properties of parallelograms, opposite sides are equal in a parallelogram.
    Here, AB = CD and AD = BC.
    19-x = 11
    x = 19-11
    x = 8

    Grade9
    Mathematics

    If ABEF, CDGF, EFIH, FGKJ are rhombuses, then angle D G F _________.

     

    Therefore the measure of ∠DGF is 135

    If ABEF, CDGF, EFIH, FGKJ are rhombuses, then angle D G F _________.

     

    MathematicsGrade9

    Therefore the measure of ∠DGF is 135

    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.