Question

Difference between two complementary angles is $6^0$.

The correct pair of simultaneous linear equations in two variables representing the following information are:

• A. $x+y={90}^o$
• B. $x-y=6^0$
  
• C. $x+y={90}^o$ and $x-y=6^0$
• D. Data Insufficient

Answer 1

Answer: (C)

$x+y={90}^o$ and $x-y=6^0$

Let x and y be complementary angles.
Then, by definition of complementary angles their sum is ${90}^0$
$\Rightarrow x+y={90}^0$
Again, given their difference is $6^0$
$\Rightarrow x-y=6^0$
Therefore, $x+y={90}^0\text{and}x-y=6^0$ are required linear equations.