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guajiro
[1.7K]
3 years ago
10
Find the measure of an angle whose measure is 20° less than the measure of its supplement.
Mathematics
Answer
Comment
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1
answer:
Tasya
[4]
3 years ago
3
0
Supplementary = angles add up to 180
Measure = 20 less
Labelled as x + (x - 20) = 180
Solve.
x + (x - 20) = 180
2x = 200
/2 /2
x = 100
Angle 1: Angle 2:
x - 20 x
100 - 20 100
80
Therefore the angle is 80 degrees.
Proof: 80 + 100 = 180 (supplementary)
100 - 80 = 20 (80 is less than supplement (100)
Hope I helped :))))
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