Question
The value of k is _______.
- 10
- 9
- 5
- 4
Hint:
The diagonals of a rhombus bisect each other at right angles.
The correct answer is: 9
The diagonals of a rhombus bisect perpendicularly.
90° +6k + 54° = 180°
6k = 36
k = 6.
Hence, none of the given options are correct.
The sum of the angles of a triangle is 180°.
Related Questions to study
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
The measure of 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 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 
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 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
In rhombus STUV, the measure of 
is ______.
Therefore The measure of ∠SOU is 180 °
In rhombus STUV, the measure of is ______.
Therefore The measure of ∠SOU is 180 °
Which of the following is not true about 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
Which of the following is not true about 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 JKLM is a rhombus, the value of p must be ___________.
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 JKLM is a rhombus, the value of p must be ___________.
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 
is ______.
Therefore the measure of is 60°
The measure of is ______.
Therefore the measure of is 60°
If one side of a rhombus is equal to 14 cm, then the perimeter of the rhombus 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 one side of a rhombus is equal to 14 cm, then the perimeter of the rhombus 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 given polygon is a __________.
A parallelogram is a 2D polygon which has 2 sets of equal and parallel sides which are opposite to each other.
The given polygon is a __________.
A parallelogram is a 2D polygon which has 2 sets of equal and parallel sides which are opposite to each other.
