Question

two supplementary angles differ by 39 degree. find the angles

Answer 1

Heya !!!

Here is Your Answer.

Given that two supplementary angles differ by 39°.

Let one angle be x and other be y.
x+y = 180° (as they are supplementary). (i)
x-y = 39° (ii)

Adding eq. (I) and (ii), we get....

x + y = 180
x - y = 39
------------------
2x = 219

x = 109.5°
y = 180 - 109.5 = 70.5°

Hence, the two angles are 109.5° and 70.5°

Hope.It Helps

Answer 2

Heya !!!




Let First angle be X°


Other angles be Y°.




Therefore,




X - Y = 39°--------(1)



And,




X+ Y = 180° ----(2)



From EQUATION (1) we get,



X - Y = 39



X = 39 +Y ------(3)


Putting the value of X in equation (2)



X + Y = 180°



39 + Y + Y = 180°



2Y = 180°-39


2Y = 141

Y = 141/2



Y = 70.5°



Putting the value of Y in equation (3)


X = 39 + Y



X = 39 + 79.5 = 109.5°



Hence,


Two supplementary angles are 70.5 and 109.5°.



HOPE IT WILL HELP YOU..... :-)