Question

two complementary angles differ by 12 ,find the angles​

Answer 1

$\huge\mathscr\pink{Answer:}$

The sum of complementary angles is 90°

Let one angle be = x

The other angle = 90-x

According to the question :-

$x - (90 - x) = 12$

$x - 90 + x = 12$

$2x = 12 + 90$

$2x = 102$

$x = \frac{102}{2}$

$x = 51$

Hence, one angle= x = 51°

Other angle = 90-x = 39°

Explanation =

The question says that there are 2 angles and the difference of 2 angle is 12. This means that when we will subtract the angles, their difference will be 12. They have also told that the angles are complementary. So if one angle is x, the other one will be 90 - x. So, we will form a linear equation of the data and then solve it. After solving it, the answer comes 51. We can easily find both the angles after this. One is 51° and the other is 90-59= 31°

Answer 2

Answer:

complementary angle

the sum of two angles is 90°

let the smaller angle be x°

bigger angle be x+12°

x+x+12=90°

2x=90-12

2x =78°

x = 78/2 = 39°

smaller angle =x = 39°

bigger angle x+12=39+12=51°..

hope this helped you.....