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11. Solve for the value of x in the triangle shown below. Show your work! (1 point for equation, 1 point for answer)

11. Solve for the value of x in the triangle shown below. Show your work! (1 point-example-1

1 Answer

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3 inside angles need to = 180, since it is a right triangle, the bottom left angle = 80 so the other 2 angles need to equal 90 degrees

so you have:

(8x+2) + (9x+3) = 90

combine like terms to get:

17x+5 = 90

subtract 5 from both sides:

17x = 85

divide both sides by 17

x = 85/17 = 5

x = 5

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