Question

the angles of a quadrilateral are in the ratio 5:6:10:16. find the angles​

Answer 1

Your fourth angle should be 15x.

We know that, the sum of the angles of a triangle is 360⁰.

Let the angles be 5x, 6x, 10x and 15x.

5x + 6x + 10x + 15x = 360⁰

36x = 360⁰

x = 360⁰/36 = 10⁰

1st = 5x = 5×10 = 50⁰

2nd = 6x = 6×10 = 60⁰

3rd = 10x = 10×10 = 100⁰

4th = 15x = 15×10 = 150⁰

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Answer 2

ᴀɴꜱᴡᴇʀ

[ ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ ᴇqᴜᴀᴅʀɪʟᴀᴛᴇʀᴀʟ ᴀʀᴇ ᴇqᴜᴀʟꜱ 360° ]

ꜱᴏ, ʟᴇᴛ ᴛʜᴇ ᴀɴɢʟᴇꜱ ʙᴇ x ʀᴀᴛɪᴏ

ɴᴏᴡ, 5x + 6x + 10x + 16x = 360°

37x = 360

x = 360/37

x = 9.729

ᴍᴜʟᴛᴩʟɪᴇᴅ ʙy ʀᴀᴛɪᴏ

5x = 5×9.729 =48.645

6x = 6×9.729=58.374

10x = 10×9.729=97.29

16x = 16×9.729=155.664

__________________

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