The sum of three angles of a quadrilateral is 5 times the fourth angle

1.	The sum of three angles of a quadrilateral is 5 times the fourth angle. Find the fourth angle.
Answer» let 'x' , 'y' , 'Z' & 'a' be 1st , 2nd , 3 rd & 4TH angle so, x + y + z = 5a sum of all angles of a quadrilateral = 360 deg x + y + z + a = 360 degree 5a + a = 360 degree 6A = 360 degree a =360 / 6 a = 60 degrees therefore , 4th angle is 60 degree . Hope it Helped !

The sum of three angles of a quadrilateral is 5 times the fourth angle. Find the fourth angle.

Answer»

let 'x' , 'y' , 'Z' & 'a' be 1st , 2nd , 3 rd & 4TH angle

so, x + y + z = 5a

sum of all angles of a quadrilateral = 360 deg

x + y + z + a = 360 degree

5a + a = 360 degree

6A = 360 degree

a =360 / 6

a = 60 degrees

therefore , 4th angle is 60 degree .

Hope it Helped !