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Find the values of x and y in the diagram​ and show work please it's for geometry class

Find the values of x and y in the diagram​ and show work please it's for geometry-example-1

1 Answer

6 votes

Answer:

x = 10

y = 70

Explanation:

By using the vertical angles theorem we know that x+ y +10 = 90, also simplified to x + y = 80

and 2x + y = 90

By using the substitution method on x + y = 80, it will be y = -x + 80

When you put into the equation 2x + y = 90 you will get 2x -x +80 = 90

Then it will simplify to x = 10

After that plug 10 into x + y = 80 to 10 + y = 80 and get y = 70

User Greg Zuber
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