Advertisements
Advertisements
प्रश्न
If opposite angles of a rhombus are (2x)° and (3x - 40)° then value of x is ______.
विकल्प
100°
80°
160°
40°
Advertisements
उत्तर
If opposite angles of a rhombus are (2x)° and (3x - 40)° then value of x is 40°.
Explanation:
A rhombus is also a parallelogram so, the opposite angles will be congruent.
Thus, (2x)° = (3x - 40)°
3x - 2x = 40°
x = 40°
APPEARS IN
संबंधित प्रश्न
The following figure is parallelogram. Find the degree values of the unknown x, y, z.

In the following figure GUNS and RUNS are parallelogram. Find x and y.

In the following figure GUNS and RUNS are parallelogram. Find x and y.

If an angle of a parallelogram is two-third of its adjacent angle, find the angles of the parallelogram.
All the angles of a quadrilateral are equal to each other. Find the measure of each. Is the quadrilateral a parallelogram? What special type of parallelogram is it?
Diagonals of parallelogram ABCD intersect at O as shown in the following fegure. XY contains O, and X, Y are points on opposite sides of the parallelogram. Give reasons for each of the following:
(i) OB = OD
(ii) ∠OBY = ∠ODX
(iii) ∠BOY = ∠DOX
(iv) ∆BOY ≅ ∆DOX
Now, state if XY is bisected at O.

Which of the following statement is true for a rhombus?
It has two pairs of parallel sides.
Which of the following statement is true for a rhombus?
It is a quadrilateral.
Fill in the blank, in the following, so as to make the statement true:
The diagonals of a rhombus ...... each other at ...... angles.
Draw a rhombus, having each side of length 3.5 cm and one of the angles as 40°.
Draw a rhombus ABCD, if AB = 6 cm and AC = 5 cm.
Show that each diagonal of a rhombus bisects the angle through which it passes.
ABCD is a rhombus whose diagonals intersect at O. If AB = 10 cm, diagonal BD = 16 cm, find the length of diagonal AC.
Diagonals of a rhombus are 20 cm and 21 cm respectively, then find the side of rhombus and its perimeter.
Diagonals PR and QS of a rhombus PQRS are 20 cm and 48 cm respectively. Find the length of side PQ.
Draw a rhombus KLMN such that its side is 4 cm and m∠K = 75°.
ABCD is a rhombus. If ∠BAC = 38°, find :
(i) ∠ACB
(ii) ∠DAC
(iii) ∠ADC.

ABCD is a rhombus. If ∠BCA = 35°. find ∠ADC.
In a rhombus diagonals intersect at ______ angles.
ABCD is a rhombus such that the perpendicular bisector of AB passes through D. Find the angles of the rhombus.
Hint: Join BD. Then ∆ABD is equilateral.
