an angle has a measure 50° more than the measure of a supplement to it.what is the measure of the angle
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Step-by-step explanation:
Supplementary angles are two angles whose measures add up to 180o.
According to the data given, the above two angles can be represented as x and x+50.
Hence:
x+(x+50)=180
Open the brackets and simplify.
x+x+50=180
2x+50=180
Subtract 50 from each side.
2x=180−50
2x=130
Divide both sides by 2.
x=1302
x=65
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