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Plz help thank you so much if you do The supplement of an angle is 30 degrees larger than twice its complement. Find the angle. A. 20 degrees B. 30 degrees C. 25 degrees D. 35 degrees Four times the complement of an angle is 9 degrees more than the supplement of the angle. Find the angle. A. 33 degrees B. 57 degrees C. 53 degrees D. 37 degrees

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DatGuy323

Answer: B) 30 degrees

Step-by-step explanation:

Look at this in a series of equations.  The supplement of an angle(x) is 180 - x.  The complement of an angle(x) is 90 - x.  Thus the supplement of an angle(180 -x) is 30 degrees larger than twice its complement(90 - x).  Thus, 180 - x = 30 + 2(90 - x)

180 - x = 30 + 180 - 2x

180 - x = 210 - 2x

x = 30

Answer: B) 57 degrees

Step-by-step explanation:

4(90-x) = 180 - x + 9

360 - 4x = 180 - x + 9

360 - 4x = 189 - x

360 = 189 + 3x

171 = 3x

57 = x

Hope it helps <3

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