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Levart [38]
4 years ago
8

I need help finding y and I've already found x which is 90

Mathematics
1 answer:
postnew [5]4 years ago
3 0
So hmm notice the picture below

so all internal angles then, are "a", "a", 90, 113, and 105

now  the sum of all internal angles of a regular polygon, is 180( n - 2), where n = number of sides in the polygon

well, this is a PENTAgon, or PENTA=5, 5 sides, so, it has a total of

180( 5 - 2) internal angles or 540

thus    \bf a + a + 90 + 113 + 105 = 540\implies 2a+90 + 113 + 105 = 540
\\\\\\
2a=540-308\implies 2a=232\implies a=\cfrac{232}{2}\implies \boxed{a=116}

since, angle "y" is sitting on a flat-line with angle "a", then, y = 180 - a

and, sure you know how much that is

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