Question

two supplementary angle is differ by 24. find the angles

Answer 1

here's our answer:-

let,1st angle=x°

2nd angle=180°-x°

according to question-

x-(180-x)=24

x-180+x=24

2x=24+180

2x=204

x=102°

1st angle=102°

2nd angle=180°-102°

=78°

( answer )

**I hope it will help u**

** if u have any doubt u can tell me in comment**

//FOLLOW ME//

((THANK YOU))

Answer 2

Given:

Two supplementary angles differ by 24.

To find:

The angles.

Solution:

The two supplementary angles are 102° and 78°.

To answer this question, we will follow the following steps:

As we know that if two angles 'a' and 'b' are supplementary to each other, then their sum is equal to 180°.

Let the one angle be x°.

So, the other angle will be 180° - x°.

Now,

as given in the question,

Two supplementary angles differ by 24.

So,

$x° - (180 - x)° = 24°$

$x + x - 180 = 24$

$2x = 204$

$x = 102°$

On putting the value of x in (180° - x°), we get

Another angle

$= 180 - 102$

$= 78°$

Hence, the supplementary angles are 102° and 78°.