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Find the value of x and y (8x-14) (5y+16) (5x34)

Find the value of x and y (8x-14) (5y+16) (5x34)-example-1

1 Answer

7 votes

Answer:

x=16

y=10

Explanation:

(8x-14) + (5y+16) =180, because together they make a straight line.

(5x+34) = (8x-14), because they are alternate exterior angles.

Solve for x:

48=3x

x=16

Let's plug that into the first equation, then solve for y.

(8(16)-14) + (5y+16) =180

128-14+5y+16=180

130+5y=180

5y=50

y=10

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