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
संबंधित प्रश्न
In a parallelogram ABCD, ∠D = 135°, determine the measures of ∠A and ∠B
The following statement are true and false .
In a parallelogram, the diagonals intersect each other at right angles .
The following statement are true and false .
In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram.
The following statement are true and false .
If all the angles of a quadrilateral are equal, it is a parallelogram .
The perimeter of a parallelogram is 22 cm. If the longer side measures 6.5 cm, what is the measure of shorter side?
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
If one angle of a parallelogram is 24° less than twice the smallest angle, then the measure of the largest angle of the parallelogram is
In a parallelogram ABCD, if ∠DAB = 75° and ∠DBC = 60°, then ∠BDC =
