SOLUTION: The angles of a hexagon are in the ratio 2:k:4:5:5:5 where k<4. The difference between the largest and the smallest angles is 90 degrees. a. Find the value of k. Are there any t

Algebra ->  Polygons -> SOLUTION: The angles of a hexagon are in the ratio 2:k:4:5:5:5 where k<4. The difference between the largest and the smallest angles is 90 degrees. a. Find the value of k. Are there any t      Log On


   

Question 1006817: The angles of a hexagon are in the ratio 2:k:4:5:5:5 where k<4. The difference between the largest and the smallest angles is 90 degrees.
a. Find the value of k. Are there any two sides which are perpendicular?
b. Find the angles of the hexagon. Hence, use a protractor and a ruler to draw a hexagon with these angles.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Answer. k = 3. 
        The angles are 60°, 90°, 120°, 150°, 150° and 150°. 
        (Notice that the sum 60° + 90° + 120° + 150° + 150° + 150° = 720° = (6-2)*180°).