Question

the sum of the measure of the interior angles of a hexagon is 720°. the measure of the angles of a particular hexagon are in the ratio 4:5:5:8:9:9. what are the measure of these angles?

Answer 1

4m+5m+5m+8m+9m+9m=720
40m=270
m=6.75
4(6.75)=27º
5(6.75)=33.75º
8(6.75)=54º
9(6.75)=60.75º

Answer 2

so the ratios are 4 to 5 to 5 to 8 to 9 to 9
that means that the first 2 sides can be simplified to 4 to 5
therefor the whle sum is all the units added up
4+5+5+8+9+9=40

720=40 units
divide by 40
18=1 unit
solve for each unit
we have
4 units
5 units
8 units
9 units

4 times 18=72
5 times 18=90
8 times 18=144
9 times 18=152

the angles are
72,90,90,144,152,152