Question

If angle of a quadrilateral are x. x+3, x+8and x+9 then find the value of x also find all the angles. ​

Answer 1

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< 1 = x

< 2 = x+3

< 3 = x + 8

< 4 = x + 9

ʙʏ ᴜsɪɴɢ ᴛʜᴇ ᴀɴɢʟᴇ sᴜᴍ ᴘʀᴏᴘᴇʀᴛʏ ᴏғ ᴀ ǫᴜᴀᴅʀɪʟᴀᴛᴇʀᴀʟ :-

< 1 + < 2 + < 3 + < 4 = 360°

(x) + (x+3) + (x+8) + (x+9) = 360°

x + x + 3 + x + 8 + x + 9 = 360°

4x + 20 = 360°

4x = 360° - 20°

4x = 340°

x = 340°/4

x = 85°

<1 = x = 85°

<2 = (x+3) = 85+3 = 88°

<3 = (x+8) = 85+8 = 93°

<4 = (x+9) = 85+9 = 94°