SOLUTION: an angle is 35 more than its complement. What is the measure of each angle?

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Question 777981: an angle is 35 more than its complement. What is the measure of each angle?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the original angle and y be the complement angle (to angle x)

Since the two are complementary angles, this means

x+y = 90

Since "an angle is 35 more than its complement", we know that

x = y+35

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x+y = 90

y+35+y = 90 ... plug in x = y+35

y+35+y=90

2y+35=90

2y=90-35

2y=55

y=55/2

y=27.5

x = y+35

x = 27.5+35

x = 62.5

So the two angles are 62.5 degrees and 27.5 degrees