one angle has a measure that is less than 15 than two times a number. a second angle is three times the number. the angles are c
omplementary. find the measures of each angle
1 answer:
Answer:
27 degrees and 63 degrees
Step-by-step explanation:
Let n be the number.
Angle 1: 2n-15
Angle 2: 3n
If the angles are complementary they add up to 90.
Therefore we can write an equation.
2n-15+3n=90
Combine like terms
5n-15=90
Add 15 to both sides
5n=105
n=21
Now we plug 21 in for n and solve for the angles
Angle 1 = 2(21)-15
Angle 1 = 42-15
Angle 1 = 27
Angle 2 = 3(21)
Angle 2 = 63
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