SOLUTION: angle a and angle b are complementary. so measurement of angle a is 3x-7 and measurement of angle b is 11x-1. what are the measurements of angles a and b so their sum equals 90 de

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Question 214919This question is from textbook
: angle a and angle b are complementary. so measurement of angle a is 3x-7 and measurement of angle b is 11x-1. what are the measurements of angles a and b so their sum equals 90 degrees?
 This question is from textbook

Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
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Since "angle a and angle b are complementary", this means a%2Bb=90


We know that the "measurement of angle a is 3x-7 and measurement of angle b is 11x-1" which means a=3x-7 and b=11x-1


a%2Bb=90 Start with the given equation.


3x-7%2B11x-1=90 Plug in a=3x-7 and b=11x-1


14x-8=90 Combine like terms on the left side.


14x=90%2B8 Add 8 to both sides.


14x=98 Combine like terms on the right side.


x=%2898%29%2F%2814%29 Divide both sides by 14 to isolate x.


x=7 Reduce.


So the solution (in terms of x) is x=7


Now plug this value into the equations for 'a' and 'b':

a=3%287%29-7=21-7=14

b=11%287%29-1=77-1=76


So the measures of angles 'a' and 'b' are 14 and 76 degrees respectively.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
angle a and angle b are complementary. so measurement of angle a is 3x-7 and measurement of angle b is 11x-1. what are the measurements of angles a and b so their sum equals 90 degrees?
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Equation:
a + b = 90 degrees
Substitute to get:
3x-7 + 11x-1 = 90
14x - 8 = 90
14x = 98
x = 7
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Angle "a" = 3x-7 = 3*7-7 = 14 degrees
Angle "b" = 11x-1= 11*7-1 = 76 degrees
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Cheers,
Stan H.