Question

The angles of a quadrilateral are in ratio 3:5:7:9. Find the measure of each angle. ​

Answer 1

Answer:

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Step-by-step explanation:

we know that sum of all angles of quadrilateral is 360°

Hence

Angle A=3x

Angle B=5x

Angle C=7x

Angle D=9x

So

A+B+C+D=360°

3x+5x+7x+9x=360°

24x=360°

x=360/24

x=15

Now

Angle A=3x

=3×15

=45°

Angle B=5x

=5×15

=75°

Angle C=7x

=7×15

=105°

Angle D=9x

=9×15

=135°

Answer 2

Answer:

let the angles of a quadrilateral be 3x, 5x , 7x,9x

the sum of quadrilateral is 360

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

24x=360

x=360/24

x=15

3x =3×15=45

5x=5×15=75

7x=7×15=105

9x=9×15=135

to check your answer calculate the sum of all angles of a quadrilateral