Question

The measures of the angles of a quadrilateral
are in the ratio 4:5:6: 5. Find each angle,​

Answer 1

smallest is 135.greater is 225 .

since the sum of all four angles of a quadrilateral is 360.

hence ,4:5:6:8 =360

sum of smallest angle =4x+5x.

sum of greatest angle =6x+9x

4x+5x+6x+9x=360

24x=360

x=15.

sum of smallest angle equals to 4 x + 5 x

4x+5x

4(15)+5(15)

=135

sum of Greater angle = 6x+ 9X

6(15)+9(15)

=225 answer