Question

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






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Answer 1

Answer:

The angles of a quadrilateral are in the ratio 3 : 5 : 7 : 9. Let x be the common ratio. The measure of each of these angles is 45,75,105 and 135.

Answer 2

Answer:

The angles of the quadrilateral are  of  $45$°,$75$°,$105$°,$135$°.

Step-by-step explanation:

Sum of four angles inside a quadrilateral is $360$°.

given angles are in the ratio $3:5:7:9$

that is, $3x+5x+7x+9x=360$

implies

$24x=360\\\\x=360/24=15$.

hence the angles are

$3(15)=45$°

$5(15)=75$°

$7(15)=105$°

$9(15)=135$°

thank you.