The angles of a quadrilateral are in the ratio 4: 5: 10: 11. The greatest angle is:
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Step-by-step explanation:
we know that the angle sum property of a quadrilateral is 360 degress
We will take all the angles as 4x , 5x, 11x and 10x
,[tex]4x+5x+10x+11x = 360 ( angle sum property )\\ 30x = 360 \\ x = 360/30\\ x = 12 \\ now , \\ 4x= 4 * 12 = 48\\ 5x = 5 * 12 = 60 \\ 10x = 10 * 12 = 120 \\ 11x = 11 * 12 = 132 \\ therefor , the largest angle of the quadrilateral is 132 degrees [/tex]
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