Question

average of 3 angles of aq
re in the ratio of
2:3; 4 is 77
Find the value of x in the figur​

Answer 1

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.