Question

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

Answer 1

30 & 60 

would be the answer to your question

Answer 2

Answer: Our two are angles are

$30\textdegree\ and\ 60\textdegree$

Explanation:

Since we have given that

There are two complementary angles

Complementary angles are those angles whose sum is $90\textdegree$

Let first angle be x

Let second angle be $x+30\textdegree$

According to question,

$x+x+30\textdegree=90\textdegree\\\\2x+30\textdegree=90\textdegree\\\\2x=90\textdegree-30\textdegree\\\\2x=60\textdegree\\\\x=\frac{60\textdegree}{2}=30\textdegree$

So, first angle be $30\textdegree$

And second angle be

$30\textdegree+30\textdegree=60\textdegree$

So, our two are angles are

$30\textdegree\ and\ 60\textdegree$