Question

23. The angles of quadrilateral are in the ratio
5:7:10 : 8 . Find all the angles of the quadrilateral​

Answer 1

Answer:

let the common ratio be x

so , angles are 5x , 7x ,10x ,8x

5x+7x+10x+8x = 180

30x =180

x=6

so , angles are - 30 , 42 , 60 , 48

Explanation:

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Answer 2

Ratio of angles of a quadrilateral = 5:7:10:8

Let the common multiple be x

1st angle = 5x

2nd angle = 7x

3rd angle = 10x

4th angle = 8x

According to angle sum property of a quadrilateral,

5x + 7x + 10x + 8x = 360⁰

= 30x = 360⁰

=> x = 360/30

=> x = 12

Therefore,

1st angle = 5x = 5×12 = 60⁰

2nd angle = 7x = 7×12 = 84⁰

3rd angle = 10x = 10×12 = 120⁰

4th angle = 8x = 8×12 = 96⁰

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