Answer:
The measure of the angles are 137 and 43
Step-by-step explanation:
Firstly, we need to understand what is meant by saying two angles are supplementary.Two angles are termed supplementary if the addition of the value of both angles equal 180.
Now let the two angles we are seeking in this question be x and y respectively
We write our first equation using the supplementary information;
x + y = 180 •••••••••••(i)
Secondly we are made to know that the difference between these angles is 94
Mathematically;
x - y = 94
or simply x = 94 + y; insert this into equation 1 above
94 + y + y = 180
2y = 180 - 94
2y = 86
y = 86/2
y = 43
x = 94 + y = 94 + 43 = 137
