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siniylev [52]
3 years ago
12

4 times the measure of the complement of an angle is equal to 2/3 the measure of the original angles supplement. what is the mea

sure of the angle?
Mathematics
1 answer:
Irina-Kira [14]3 years ago
4 0
Let angle be x 
4 times complement = 4(90 - x)
2/3 times its supplement = 2/3(180 - x)

4(90 - x) = 2/3 (180 - x)
360 - 4x = 120 - 2/3 x
240 =  3 1/3 x
x =  240  /  10/3  = 240 * 3/10  = 72 degrees Answer
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Step-by-step explanation:

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