The angles guadrilateral are in the ratio 3:5:9:13.Find all the angle of the quadrilateral.

Question

Answer

Let the angles be x So, angle =3x, 5x, 9x & 13x We know that, 3x+ 5x+ 9x+13x = 360 30x = 360X = 12Now, put the value of xSo, 3 =3x = 3×12 =365= 5x = 5×12 = 609= 9x =9× 12 =10813= 13x = 13× 12 = 156So, the angles are 36 ,60 ,108 & 156

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Answer

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Answer

Let the angles of quadrilateral be 3x,5x,9x,13x.
Sum of all angles of quadrilateral=360degree
So,
3x+5x+9x+13x=360degree
=> 30x=360degree
=>X=360/30
=>X=12degree
Angles of quadrilateral
=> 3x=3×12=36degree
=> 5x=5×12=60degree
=> 9x=9×12=108degree
=> 13x=13×12=156degree
=> (36,60,108,156degree).(Ans).

Answer

first angle - 36second angle -60third angle - 108fourth angle - 156( assume all angle to be x, sum of all angle will be 360, find the value of x and then the values of the angles)

Answer

Angles of a Quadrilateral in Ratio 3:5:9:13
The sum of the angles in a quadrilateral is always 360 degrees. Given that the angles of the quadrilateral are in the ratio 3:5:9:13, we can express the angles as 3x, 5x, 9x, and 13x, where x is a constant.

Finding the Value of x
To find the value of x, we add up the ratios: 3 + 5 + 9 + 13 = 30. Since the sum of the angles in a quadrilateral is 360 degrees, we set up an equation: 30x = 360. Solving for x, we get x = 12.

Finding the Angles
Now that we have the value of x, we can find the measure of each angle in the quadrilateral:
- First angle: 3x = 3 * 12 = 36 degrees
- Second angle: 5x = 5 * 12 = 60 degrees
- Third angle: 9x = 9 * 12 = 108 degrees
- Fourth angle: 13x = 13 * 12 = 156 degrees
Therefore, the angles of the quadrilateral are 36 degrees, 60 degrees, 108 degrees, and 156 degrees.
By following the steps above, we can determine the measure of each angle in a quadrilateral when given the ratios of the angles.

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