Question

The angle of a quadrilateral are in the following ratio find the measure of
the four angles 3:5:7:9

Answer 1

Let the angles be x...

so..
3x,4x,7x and 9x
We know that sum of all angles in a
quadrilateral is equal to 360.°
so..
3x +5 x+7x+9x=360°
24x=360°
x= 15°

3x=3×15=45°
5x=5×15=75°
7x=7×15=105°
9x=9×15=135°

Hope it helps you. ..

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Answer 2

$<b><u>$Let the required angles be 3x°,5x°,7x°and 9x° respectively

As we know sum of angles of a quadrilateral is 360°

So forming an equation as per the question we have

3x°+ 5x°+ 7x°+ 9x° = 360°

24x°= 360°

x° = (360/24)°

x° = 15°

Angels are as following

3x°= (3× 15)° = 45°

5x°= (5×15)°= 75°

7x°= (7×15)°= 105°

9x°= (9× 15)°= 135°

Thanks

Have a colossal day ahead

Be Brainly