4. The sum of three angles of a quadrilateral is 5 times the fourthang

1.	4. The sum of three angles of a quadrilateral is 5 times the fourthangle. 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 deg 5a + a = 360 deg 6a = 360 deg a =360 / 6 a = 60 degrees Therefore , 4th angle is 60 degree .

4. The sum of three angles of a quadrilateral is 5 times the fourthangle. 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 deg

5a + a = 360 deg

6a = 360 deg

a =360 / 6

a = 60 degrees

Therefore , 4th angle is 60 degree .