Question 585411
Let the two angles be x and y such that x>y.

Since they are supplementary angles, therefore x + y = 180   ---------(1)

Also,  x = y + 46   ------------ (2)

Plugging the value of x from equation (2) into equation (1), we get:

y + 46 + y = 180
2y + 46 =180
2y = 180 - 46
2y = 134
y = 67

Plugging back the value of y in equation (1),
x = 67 + 46
x = 113

Hence, the two angles are 67' and 113'


Hope this helps~!