Answer to Question #100001 in Geometry for Sky

Question

The Sum of the measures of interior 720° the measures of the angles of it particular hexagon are in a ratio 4:5:5:8:9:9 what are the measures of these angles

Answer 1

Let ratio constant be x.

Angles are 4x,5x,5x,8x,9x,9x.

$4x+5x+5x+8x+9x+9x=720$

$40x=720$

$x=18$

$4x=18×4=72$

$5x=18×5=90$

$8x=18×8=144$

$9x=18×9=162$

Thus, angles are 72°,90°,90°,144°,162°,162°.