2 The angles of a quadrilateral are x, x +3, x +8 and x + 9, then find the value of x. Also find the angles of the quadrilateral.
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given that the angles of the quadrilateral are x , x+ 3 , x + 8 and x+9
[tex]x + x+3 + x + 8 + x+9 = 360 ( angle sum property ) \\ 4x+ 20 = 360 \\ 4x = 360 - 20\\ 4x = 340 \\ x = 340/4 \\ x= 85 \\ now , \\ x+3 = 85 + 3 = 88\\ x + 8 = 85 + 8 = 93\\ x + 9 = 85 + 9 = 94 \\ \\ hence , the angles of the quadrilateral are 85 , 88 , 93 and 94[/tex]
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