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Mathematics

Answered

Two angles are supplements if their sum is 180 degrees. The measurement of
one angle is five more than six times its supplement. What is the measurement of
the smaller angle?

Answer :

Emilyjarvis04owbj60go Emilyjarvis04owbj60go

x represents (smaller) angle 1, y represents (larger) angle 2:

180 = x + y
y = 6x + 5

180 = x + y
180 = x + (6x + 5)
180 = 7x + 5
175 = 7x
25 = x

180 = 25 + y
155 = y

the smaller angle (x) is 25 degrees.

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