Question

if the difference between two supplemenyary angles is 40 find the angles​

Answer 1

Answer:

70° and 110°

Step-by-step explanation:

Let the two angles be x and (180-x) [Since the angles are supplementary, they add upto 180°]

By the given conditions,

x - (180-x) = 40

x - 180 + x = 40

2x - 180 = 40

2x = 220

So, x = 110

And, 180-x = 70

Therefore, the angles are 70° and 110°.

Answer 2

Step-by-step explanation:

Supplementary angles;means that the sum of t any two angles is 180

Let one angle be "x"

And another be"y"

Given that difference =40

Therfore ;x-y=40..... (1)that is "x=y+40".........(2)

We know that x+y=180...... (3)

Substituting the value of X from equation (2) in equation (3)

We get ;y+40=180

Therfore y=140

Then put the value of y in equation (3)

We get x=40

Therefore first angle "x" =40 degrees

And another angle "y" =140 degrees

Hope ur satisfied.....