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Two angles are complementary. one contains 30° more than the other. find both angles. the measures of the angles are degrees.

Respuesta :

30 & 60 

would be the answer to your question

Answer: Our two are angles are

[tex]30\textdegree\ and\ 60\textdegree[/tex]

Explanation:

Since we have given that

There are two complementary angles

Complementary angles are those angles whose sum is [tex]90\textdegree[/tex]

Let first angle be x

Let second angle be [tex]x+30\textdegree[/tex]

According to question,

[tex]x+x+30\textdegree=90\textdegree\\\\2x+30\textdegree=90\textdegree\\\\2x=90\textdegree-30\textdegree\\\\2x=60\textdegree\\\\x=\frac{60\textdegree}{2}=30\textdegree[/tex]

So, first angle be [tex]30\textdegree[/tex]

And second angle be

[tex]30\textdegree+30\textdegree=60\textdegree[/tex]

So, our two are angles are

[tex]30\textdegree\ and\ 60\textdegree[/tex]

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