Question

Two supplementary angles are (4x+15) and (x+5)*. Find the values of both the angles.​

Answer 1

Answer:

143°,37°

Step-by-step explanation:

To find,

Value of both angles

Given,

1st angle=(4x+15)°

2nd angle=(x+5)°

Now,Recall that

The sum of two supplementary angles is 180°

According to the question,

4x+15+x+5=180°

or. 5x+20=180°

or. 5x. =160°

Therefore x. =160°/5=32°

1st angle=(4x+15)°=(128+15)°=143°

2nd angle=(x+5)°=37°

DONE

Hope it helps you.

Please mark my answer as brainliest.

Answer 2

First, we will understand what is meant by supplementary angles

Two angles which when added gives a sum of 180° are called supplementary angles.

Now, here the two angles are  (4x+15) and (x+5)

Therefore,  (4x+15) + (x+5) = 180

                         5x + 20 = 180

                                  5x = 160

                                    x = 32

now, 4x + 15 = 4( 32 ) + 15

                    = 143

       x + 5 = 32 + 5

                = 37

Hence, the two angles will be 143° and 37°