The size of the other angle of the supplementary angle is 128 degrees.
Supplementary angles are angles that add up to 180 degrees. For example, these pairs of angles are supplementary angles because they add up to 180 degrees:
- 20 and 160
- 90 and 90
- 60 and 120
Let x represent one of the pairs in the supplementary angle.
The second supplementary angle can be represented with this expression : 24 + 2x
The two angles can be represented with this equation:
24 + 2x + x = 180
24 + 3x= 180
3x = 180 - 24
3x = 156
x = 52
The second angle:
180 - 52 = 128 degrees
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