Two angles are supplementary. The first angle has 20º more then the second angle. How many degrees are in each angle?
1 answer:
The sum of the measures of two supplementary angles is 180 degrees.
The second angle measures x.
The first angle measures 20 deg more than x, or x + 20.
The sum of their measures is 180 deg.
x + x + 20 = 180
2x + 20 = 180
2x = 160
x = 80
The second angle measures 80 deg.
x + 20 = 80 + 20 = 100
The first angle measures 100 deg.
Answer: The first angle measures 100 deg, and the second angle measures 80 deg.
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