SOLUTION: Two angles are complementary. the measure of the larger angle is 10 degrees more than three times the measures of the smaller angle. find the measures of these two angles

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Question 309023: Two angles are complementary. the measure of the larger angle is 10 degrees more than three times the measures of the smaller angle. find the measures of these two angles
Found 3 solutions by arora_nb, mollukutti, MathTherapy:
Answer by arora_nb(1)   (Show Source):
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let small angle is x
large angle is 3x+10
Now x+3x+10=180
4x=170
x=42.5
angles are 42.5 & 147.5

Answer by mollukutti(30)   (Show Source):
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Basic facts:
1. Two angles are said to be complimentary to each other when they add up to 90 degrees
Let us consider the smaller angle as x degrees
Therefore the larger angle will be (x + 10) degrees
As the angles are complimentary they add upto 90 degrees. Hence the equation can be written as:
x + (x+10) = 90
or, x + x + 10 = 90
or, 2x + 10 = 90
or, 2x + 10 - 10 = 90 - 10 (subtracting 10 from both sides)
or, 2x = 80
or, 2x/2 = 80/2 (dividing both sides by 2)
or, x = 40
Hence the smaller angle is 40 and the larger angle is (40 + 10) 50 degrees.

Answer by MathTherapy(10552)   (Show Source):
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S + 3S + 10 = 90, where the smaller angle is S

The angles are and