Advertisements
Advertisements
प्रश्न
The angles of quadrilateral are in the ratio 3: 5: 9: 13. Find all the angles of the quadrilateral.
Advertisements
उत्तर
Let the common ratio between the angles be x. Therefore, the angles will be 3x, 5x, 9x, and 13xrespectively.
As the sum of all interior angles of a quadrilateral is 360º,
∴ 3x + 5x + 9x + 13x = 360º
30x = 360º
x = 12º
Hence, the angles are
3x = 3 × 12 = 36º
5x = 5 × 12 = 60º
9x = 9 × 12 = 108º
13x = 13 × 12 = 156º
APPEARS IN
संबंधित प्रश्न
The following statement are true and false .
If three sides of a quadrilateral are equal, it is a parallelogram .
The following statement are true and false .
If three angles of a quadrilateral are equal, it is a parallelogram .
Complete the following statement by means of one of those given in brackets against each:
If one angle of a parallelogram is a right angle, then it is necessarily a .................
Complete the following statement by means of one of those given in brackets against each:
Consecutive angles of a parallelogram are ...................
PQRS is a quadrilateral, PR and QS intersect each other at O. In which of the following case, PQRS is a parallelogram?
∠P =85°, ∠Q = 85°, ∠R = 95°
PQRS is a quadrilateral, PR and QS intersect each other at O. In which of the following case, PQRS is a parallelogram?
OP = 6.5 cm, OQ = 6.5 cm, OR = 5.2 cm, OS = 5.2 cm
The bisectors of any two adjacent angles of a parallelogram intersect at
The bisectors of the angle of a parallelogram enclose a
The figure formed by joining the mid-points of the adjacent sides of a quadrilateral is a
The diagonals of a parallelogram ABCD intersect at O. If ∠BOC = 90° and ∠BDC = 50°, then ∠OAB =
