Question

The interior angles formed by the sides of a hexagon have measures that sum to 720°. What is the measure of angle F? Enter your answer in the box. ​ m∠F= ​ ° An irregular hexagon labeled ABCDEF with angle A parenthesis x minus sixty parenthesis degrees, angle B parenthesis X minus forty parenthesis degrees, angle C one hundred thirty degrees, D one hundred twenty degrees, E one hundred ten degrees, F parenthesis x minus twenty parenthesis degrees

Answer 1

114 is the real correct answer

Explanation:

May God Bless

Answer 2

Answer:
`m\angle F=140\°`

Explanation:

The missing figure is attached.

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:

`(x-60)+(x-40)+130+120+110+(x-20)=720`

The next step is to solve for "x" in order to find its value. This is:

`x-60+x-40+130+120+110+x-20=720\\\\3x=720-240\\\\3x=480\\\\x=(480)/(3)\\\\x=160`

Now you must substitute the valUe of "x" calculated above, into
`m\angle F=(x-20)\°`:

`m\angle F=(160-20)\°`

Finally, evaluating, you get that the measure of the angle F is:

`m\angle F=140\°`