Advertisements
Advertisements
प्रश्न
In a rhombus PQRS if PQ = 7.5 cm then find QR. If ∠QPS = 75° then find the measure of ∠PQR and ∠SRQ.
उत्तर
PQ = 7.5 cm ...[Given]
`square`PQRS is a rhombus. ...[Given]
∴ QR = PQ ...[Sides of a rhombus are congruent]
∴ QR = 7.5 cm
∠QPS = 75° ...[Given]
∠QPS + ∠PQR = 180° ...[Adjacent angles of a rhombus are supplementary]
∴ 75° + ∠PQR = 180°
∴ ∠PQR = 180° – 75°
∴ ∠PQR = 105°
∠SRQ = ∠QPS ...[Opposite angles of a rhombus]
∴ ∠SRQ = 75°
APPEARS IN
संबंधित प्रश्न
The following figure is parallelogram. Find the degree value of the unknown x, y, z.
Can the following figure be parallelogram. Justify your answer.
The measure of one angle of a parallelogram is 70°. What are the measures of the remaining angles?
Two adjacent sides of a parallelogram are 4 cm and 3 cm respectively. Find its perimeter.
Which of the following statement is true for a rhombus?
It has two pairs of parallel sides.
The diagonals of a parallelogram are not perpendicular. Is it a rhombus? Why or why not?
Diagonals of a rhombus are 20 cm and 21 cm respectively, then find the side of rhombus and its perimeter.
If all sides of a quadrilateral are equal, it is a ______.
All rhombuses are squares.
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.
