Find the angle $ \beta $ of a rhombus if side $a = 12$ and angle $\alpha = 120^o$.
Answer
Problem has no solutions.
Explanation
To find angle $ \beta $ use formula:
$$ \alpha + \beta = 90^o $$After substituting $ \alpha = 120^o $ we have:
$$ 120^o + \beta = 90^o $$ $$ \beta = 90^o - 120^o $$ $$ \beta = -30^o $$The result has to be greater than zero. $ \Longrightarrow $ The problem has no solution.
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