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

I need help finding y and I've already found x which is 90-example-1
User Shazin
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1 Answer

7 votes
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
I need help finding y and I've already found x which is 90-example-1
User Chibuzo
by
8.2k points

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