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) (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
--------------------------------------------------------
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
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