Question

The four angles of a quadrilateral are in the ratio 3:5:7:9. Find the angles

Answer 1

Let the angles =3x
5x
7x
9x
3x+5x+7x+9x=360
As sum of all the angles of a quadrilateral =360
24x=360
X=360/24
X=15
So 1st angle 3x=3×15=45°
2nd angle 5x=5×15=75°
3rd angle 7x=7×15=105°
4th angle 9x=9×15=135°

Answer 2

$<b>Answer :-</b>$

Angle 1 : 45°
Angle 2 : 75°
Angle 3 : 105°
Angle 4 : 135°

$<b>Step-by-step explanation :</b>$

The four angles are in ratio :- 3 : 5 : 7 : 9

Let the angles be x

➡️ 3x : 5x : 7x : 9x

We know that,
The sum of angles of quadrilateral is 360°

A/q

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

24x = 360

360/24 = x

➡️ x = 15

⛬, Angle 1 =3x=3(15) = 45°
⛬, Angle 2=5x=5(15) = 75°
⛬, Angle 3=7x=7(15) = 105°
⛬, Angle 4=9x=9(15) = 135°

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