Answer: y = 125°
Step-by-step explanation:
1) As shown in the picture, I drew a circle for every intersecting point that indicated it would sum up to 360 degrees, so I could find the degrees inside the pentagon.
2) When I had all of the degrees inside the pentagon (except for the corner in the far right), I added all of them together to the sum of 485 degrees.
3) Since all of a pentagon's angles need to add up to 540°, I was left with this equation: 485° + __ = 540°
4) To find the last degree of the pentagon or fill in the blank, I subtracted 540° and 485° to get 55°. The degree in the far right of the pentagon was 55° degrees.
5) I had 55° and 180° to answer what y was. Then again, the circle of intersected lines should all add up to 360°. To get y, I added 55° and 180° to get 235° -- and subtracted 360° and 235° to get 125°.
6) Then, my final answer: y is 125°.
I finally got to answer after my hard work !!
