Question 666367
Supplement angles sum to 180
Complement angels sum to 90
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x = angle to be solved
{{{(1/2)(180-x) = 60 + (1/6)(90-x)}}}
{{{(1/2)(180) - (1/2)(x) = 60 + (1/6)(90) - (1/6)x}}}
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Isolate x
{{{(1/6)x - (1/2)x = 60 + (1/6)(90) - (1/2)(180)}}}
Multiply the entire equation by 12, the least common multiple of 6 and 2
to be rid of fractions.
2x - 6x = 720 + 180 - 1080
-4x = -180
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Divide both sides by -4
{{{highlight_green(x = 45)}}}
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