Question

answer this question fast

Answer 1

Let the angle be x

So its compliment = 90 - x

And its supplement = 180 - x


Given that the ratio of its compliment and supplement is 13 : 4

=> (180 - x) : (90 - x) :: 13 : 4

Product of extremes = Product of means

=> 4(180 - x) = 13(90 - x)

=> 720 - 4x = 1170 - 13x

=> 13x - 4x = 1170 - 720

=> 9x = 450°

=> x = 450/9

=> x = 50°

So your answer is option 2


Hope it helps dear friend ☺️

Answer 2

Here is your solution

Given:-

The ratio of its compliment and supplement is 13 : 4

Let the angle be x

since compliment = 90 - x
its supplement = 180 - x

A/q

=> (180 - x) : (90 - x) :: 13 : 4

we know that

Product of extremes = Product of means.

=> 4(180 - x) = 13(90 - x)

=> 720 - 4x = 1170 - 13x

=> 13x - 4x = 1170 - 720

=> 9x = 450°

=> x = 450/9

=> x = 50°

2nd option is correct.

Hope it helps you