Question

9. The angles of Quadrilateral are in the ratio of 6:8:9:13 Find all the angles of the Quadrilateral​

Answer 1

QuesTion :

The angles of quadrilateral are in the ratio of 6:8:9:13. Find all the angles of the quadrilateral.

AnsWer :

Let PQRS be the quadrilateral.

Let the unknown constant be z.

<P + <Q + <R + <S = 360° [All the angles in a quadrilateral add upto to 360°]

6z + 8z + 9z + 13z = 360°

36z = 360°

z = 360°/36

z = 10°

Therefore, the angles are :

==> <P = 6z = 6(10°) = 60°

==> <Q = 8z = 8(10°) = 80°

==> <R = 9z = 9(10°) = 90°

==> <S = 13z = 13(10°) = 130°

VeriFication :

60° + 80° + 90° + 130° = 360°

360° = 360°

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Answer 2

Answer :

60 , 90 , 130 , 360