Question

two supplementary angles differ from 34° . find the angles

Answer 1

Hey

Here is your answer,

Sum of supplementry angles=180°

Let the first angle be x
Other angle=x+34x

x+x+34=180
2x+34=180
2x=180-34
2x=146
X=73
other angle=73+34=107

Hope it helps you!

Answer 2

Let two supplementary angles are X and Y.




According to the question,



X - Y = 34 -------------(1)



Sum of two supplementary angles = 180


X + Y = 180 ---------(2)


From equation (1) we get ,



X - Y = 34


X = ( 34 + Y ) ----------(3)


Putting the value of X in equation (2) , we get


X + Y = 180


34 + Y + Y = 180


2Y = 180 - 34


2Y = 146



Y = 73°


Putting the value of Y in equation (3) , we get



X = Y + 34.



X = 73 + 34 = 107°.


Hence,


Two supplementary angles are 73° and 107°.