Question

What is the measure of Angle F?

Answer 1

What is the sum of all the angles equal to?

Answer 2

idk do i use 180(n - 1)? or something

Answer 3

180°(n - 2), yeah.

Answer 4

i thought that was just for regular polygons though?

Answer 5

It works for all. An explanation is here if you're curious:
http://www.mathsteacher.com.au/year8/ch10_geomcons/02_internal/anglesum.htm

Answer 6

hmm i see...thanks

Answer 7

So:

\[ 180^\circ (6-2) = A + B+C+D+E+F \]

And you solve for \(x\).

Answer 8

so 134 + 128 + 10x - 4 + 10x - 4 + 5x + 8 + 5x + 8 = 180(6 - 2)?

Answer 9

Yep. :)

Once you get \( x \), just substitute it back in \( 10x-4 \) to find the answer.

Answer 10

270 + 30x = 720
30x = 450
x = 15?

Answer 11

10(15) - 4 = 150 - 4 = 146?

Answer 12

is that right?

Answer 13

Yes. :)