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`

Step-by-step 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=(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`