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How do I solve for x and y in geometry using linear pairs.
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justin462

by justin462 at October 12, 2010

I am supposed to find the values of x and y for this problem but i cant figure out how to work it. The problem is as follows

two lines intercept to form and x.

the top angle is 10(x+y) followed by a degree symbol.

the right angle is 3x followed by a degree symbol

the bottom angle is 15x followed by a degree symbol.

the left angle is empty

the top and bottom angle make vertical angles

the top and right angles form linear pairs

the right and bottom angles  also form a linear pair.

i dont know how to solve the problem

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Add the right angle 3x and the bottom angle 15x = 18x.  18x = 180 degrees because they form a straight angle, being two straight intersecting lines. x = 10 degrees 10(x+y) + 3x  = 180 degrees 10x +10y +3x = 180 13x +10y = 180 13x is 130 130 +10y = 180 10y = 50 y = 5 Check does 10(x+y) = 15x 10 (10+5) =150 and 15(10) = 150  So Yes it does.
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kroo_jteague kroo_jteague October 13, 2010

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