Question
Find the measure of 
if WXYZ is a square.
- 122°
- 32°
- 58°
- 148°
Hint:
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
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 _______.
As we know diagonals of square are equal so we compared the given diagonals and obtained the value of x.
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.
The perimeter of the board=4.8m
What is the value of p?
The value of p is 3.
What is the value of p?
The value of p is 3.
What is the measure of 
if PQRS is a rectangle?
Therefore, angle of ∠RPQ=43°.
What is the measure of if PQRS is a rectangle?
Therefore, angle of ∠RPQ=43°.
If PQRS is a rhombus, then the value of k is _________.
Therefore, the value of k is 
If PQRS is a rhombus, then the value of k is _________.
Therefore, the value of k is
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 ____________.
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 _________.
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 _________.
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 k is _______.
The sum of the angles of a triangle is 180°.
The value of k is _______.
The sum of the angles of a triangle is 180°.
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 _____.
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 is the measure of 
?
Therefore the measure of ∠B is 20°
What is the measure of ?
Therefore the measure of ∠B is 20°
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?
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 _______.
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 _______.
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 
, then the measure of 
_________.
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 , then the measure of _________.
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 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?
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
If ABEF, CDGF, EFIH, FGKJ are rhombuses, then 
_________.
Therefore the measure of ∠DGF is 135
If ABEF, CDGF, EFIH, FGKJ are rhombuses, then _________.
Therefore the measure of ∠DGF is 135
