Answer: [tex]m\angle F=140\°[/tex]
Step-by-step explanation:
You know that the sum of the interior angles of an hexagon is 720 degrees.
Based on that and given the figure attached, you can set up the following equation:
[tex](x-60)+(x-40)+130+120+110+(x-20)=720[/tex]
The next step is to solve for "x" in order to find its value. This is:
[tex]x-60+x-40+130+120+110+x-20=720\\\\3x=720-240\\\\3x=480\\\\x=\frac{480}{3}\\\\x=160[/tex]
Now you must substitute the valUe of "x" calculated above, into [tex]m\angle F=(x-20)\°[/tex]:
[tex]m\angle F=(160-20)\°[/tex]
Finally, evaluating, you get that the measure of the angle F is:
[tex]m\angle F=140\°[/tex]
Answer:
114 is the real correct answer
Step-by-step explanation:
May God Bless
