In the figure shown, what is the value of v + x + y + x + w?
(A)45
(B)90
(C)180
(D)270
(E)360
(In the book there is a diagram of an uneven five pointed star with the bottom of the points having lines close them off. In other words, if you drew a star by hand with all the crossing lines, that's essentially what it looks like. Starting at 12:00 and going clockwise, it goes y, z, w, v, and x in degrees at each triangular point).
The OG explanation makes sense but it's very tedious in that you have to first use the formula (5-2) x 180 = 540. Then you have to find five separate triangles in the diagram that add up to the answer. With all this information, there's some substitution and factoring to get to the answer. There has to be an easier way to approach this problem. Please advise.
(A)45
(B)90
(C)180
(D)270
(E)360
(In the book there is a diagram of an uneven five pointed star with the bottom of the points having lines close them off. In other words, if you drew a star by hand with all the crossing lines, that's essentially what it looks like. Starting at 12:00 and going clockwise, it goes y, z, w, v, and x in degrees at each triangular point).
The OG explanation makes sense but it's very tedious in that you have to first use the formula (5-2) x 180 = 540. Then you have to find five separate triangles in the diagram that add up to the answer. With all this information, there's some substitution and factoring to get to the answer. There has to be an easier way to approach this problem. Please advise.
