Question

If four angles of a convex pentagon measure 120°, 93°, 108°, and 101°, find the measure of the fifth angle.

Answer 1

120°+ 93°+ 108°+ 101°+x= y

where y is the given sum of a pentagon.

Answer 2

okay... so how do I work with this? (if you don't mind explaining a little...)

Answer 3

well y would be 540 it is assumed you know that or are given it or you looked it up. Other wise it will be very hard if you didn't .

you then plug it in at y

120°+ 93°+ 108°+ 101°+x = 540
^ ^ ^ ^
Add like terms

422+x=540

now you subtract 422 from both side to isolate the x
x=118 that is your fifth angle

Answer 4

they didn't give y

Answer 5

oh okay. So, just add up all the other angles and subtract what's left from y?

Answer 6

yup

and y is just the sum total of all the angles in the pentagon

Answer 7

http://www.mathsisfun.com/geometry/interior-angles-polygons.html this will help with y :)

Answer 8

Alright :3 thanks