the four angles of a qudrilaterala are as 3:5:7:9.find the lengths ?

They sum to 360, so

3x+5x+7x+9x = 360

find x, then you can get the angles. (not the lengths)

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To find the lengths of the four angles in a quadrilateral, you need to know the sum of all the angles in a quadrilateral, which is 360 degrees. Let's assume that the angles are represented by x, y, z, and w.

According to the given information, the ratios of the four angles are given as 3:5:7:9. We can express these ratios as 3x, 5x, 7x, and 9x, where x is the common ratio.

To find the value of x, we need to sum up the ratios and equate it to 360 degrees:

3x + 5x + 7x + 9x = 360

Simplifying the equation:

24x = 360

Dividing both sides by 24:

x = 15

Now, we can calculate the lengths of the angles by substituting the value of x into the ratios:

Angle 1: 3x = 3 * 15 = 45 degrees
Angle 2: 5x = 5 * 15 = 75 degrees
Angle 3: 7x = 7 * 15 = 105 degrees
Angle 4: 9x = 9 * 15 = 135 degrees

Therefore, the lengths of the four angles in the quadrilateral are 45 degrees, 75 degrees, 105 degrees, and 135 degrees.