Question

The angles of a quadrilateral are in the ratio 3:5:9:13 . Find all the angles of the
quadrilateral .

Answer 1

Answer:

36⁰, 60⁰, 108⁰, and 156⁰

Step-by-step explanation:

sum of angles in a quadrilateral=360⁰

ratio of the angles=3:5:9:13

let, the angles be, 3x, 5x, 9x, and 13x respectively

hence,

3x+5x+9x+13x=360

(3+5+9+13)x=360

(8+22)x=360

30x=360

x=12

hence, the angles are,

3x=3×12=36⁰

5x=5×12=60⁰

9x=9×12=108⁰

13x=13×12=156⁰

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