average of 3 angles of aq
re in the ratio of
2:3; 4 is 77
Find the value of x in the figur
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Answer:
Let 2x,4x and 5x be the 3 angles of given quadrilateral and m be the fourth angle of the same quadrilateral.
Therefore,
32x+4x+5x=77
⇒11x=231
⇒x=11231=21
Therefore,
2x=2×21=42
4x=4×21=84
5x=5×21=105
The three angles of the quadrilateral are 42,84 and 105.
Therefore,
As we know that sum of internal angles of a quadrilateral is 360.
∴42+84+105+m=360
⇒m=360−231=129
Hence the angles of the given quadrilateral are 42,84,105 and 129.
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