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?

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