Question

Two angles of a quadrilateral are in the ratio 3:4:4:7. Find all angles of the quadrilateral.

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Answer 1

Answer:

let 3 be 3x, 4 be 4x ,4 be 4x , 7 be 7x

3x+4x+4x+7x=360⁰

18x⁰= 360⁰

x = 360⁰/ 18⁰

x = 20⁰

therefore,

3x × 20⁰ = 60⁰

4x × 20⁰ = 80⁰

4x × 20⁰ = 80⁰

7x × 20⁰ = 140⁰

hence, all angles are 60⁰, 80⁰, 80⁰, 140⁰.