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) (Show Source):
You can put this solution on YOUR website!
Since "angle a and angle b are complementary", this means

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

Start with the given equation.

Plug in and

Combine like terms on the left side.

Add to both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

So the solution (in terms of x) is

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

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

Answer by stanbon(75887) (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.