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Alex73 [517]
3 years ago
6

Find the value of x and y

Mathematics
1 answer:
const2013 [10]3 years ago
6 0

is the same thing here as the other triangles, the triangle below is an equilateral, the one above is an isosceles.

the <u>vertex</u> of the isosceles is 40°, so the twins angle at the <u>base</u> are (180 - 40)/2 = 70° = x each.

since the sides in the equilateral are all the same length, then 2y + 10 = x - y, but we already know what "x" is, so


\bf 2y+10=x-y\implies 2y+10=\stackrel{x}{70}-y\implies 3y=60 \\\\\\ y=\cfrac{60}{3}\implies y=20

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