Question 1089351
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It follows from the condition, that x and y are complementary angles: 

    x + y = 90 degrees.

Substitute x = 3k-11 and y = 2k-9,  and you will get an equation for k:

    (3k - 11) + (2k - 9) = 90,

5k = 90 + 11 + 9  ====>  5k = 110  ====>  k = {{{110/5}}} = 22 degrees.
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