Answer:
67 degree
113 degree
Step-by-step explanation:
Supplementary angles are angles that measure up to 180 degrees. For example, if one angle measures 60 degree, the other angle would measure (180 - 60) 120 degrees
Let x represent the smaller angle
The bigger angle = x + 46
We know that both the smaller and the bigger angle would add up to 180, thus this equation can be written :
x + 46 + x = 180
2x + 46 = 180
Collect like terms
2x = 180 - 46
2x = 134
Divide both sides by 2
x = 67 degrees
the bigger angle = 67 + 46 = 113 degree
