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The supplement of an angle is (180) minus (the angle).

Here we have an angle 'A', and we are told that: 2( 180 - A ) = 30 + 5( 180 - A ). We calculate:

360 - 2A = 30 + 900 - 5A = 930 - 5A (clear parentheses)

3A = 570 (Add 5A - 360 to both sides)

A = 190 (Divide both sides by 3)

Check:

Its supplement is (180 - 190) = -10

2(-10) (?=?) 30 + 5(-10)

-20 (?=?) 30 - 50

-20 = -20 Yes !

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Q: What is the Measure of an angle if twice the measure of its supplement is thirty more than five times the measure of its supplement?
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