SOLUTION: three angles of hexagon are 60,100and 120 . find the other three angles if they are ratio of 1:4:5

Question 630408: three angles of hexagon are 60,100and 120 . find the other three angles if they are ratio of 1:4:5
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
three angles of hexagon are 60,100and 120 . find the other three angles if they are ratio of 1:4:5
-----
The sum of the interior angles of a hexagon is (6-2)*180 = 4*180 = 720 degrees
-------------------
The 3 angles you know have a sum of 280 degrees.
The other 3 angles must have a sum of 720-280 = 440 degrees
-----
Equation:
x + 4x + 5x = 440
10x = 440
x = 44 degrees
4x = 176 degrees
5x = 220 degrees
-----------------------
Cheers,
Stan H.
RELATED QUESTIONS
Three angles of a hexagon are congruent. Find the other three angles if they are in the... (answered by Edwin McCravy)

Three angles of a triangle are in the ratio 4:5:6. Find the... (answered by ewatrrr)

A hexagon has three equal angles. The other three angles are 115,85 and 130. What is the... (answered by ikleyn)

the angles of a triangle are in the ratio 2:3:5. Find the three... (answered by ankor@dixie-net.com)

if the angles of a triangle are in the ratio 1 : 2 : 3, find the measure of all three... (answered by josgarithmetic)

three angles if a tringle are in the ratio 2:3:5 , find the measure of each angles? (answered by edjones)

If three angles of a triangle are in the ratio 3:4:5 find the value of each... (answered by greenestamps)

Two angles are supplementary. One is 60 more than three times the other. Find the... (answered by Stitch)

The ratio of the angles measures in a triangle are 3:5:10. Find the measures of the three (answered by flame8855)