SOLUTION: Good day! I tried solving this problem. but, honestly, word problems in linear equations in one variable are quite confusing for me. I'm sorry for my weakness. i hope that you can
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Question 173134: Good day! I tried solving this problem. but, honestly, word problems in linear equations in one variable are quite confusing for me. I'm sorry for my weakness. i hope that you can help me.
Problem: a) Given the non-right angles in a right triangle, if twice the first is 16 more than twice the second, find the angles.
thank you very much. God bless you.
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a) Given the non-right angles in a right triangle, if twice the first is 16 more than twice the second, find the angles.
------------------
The two non-right angesare complementary.
If one is x the other must be 90-x.
----------------------------------------
EQUATION:
2(90-x) = 2x+16
180 - 2x = 2x + 16
4x = 164
x = 41 degrees (one of the angles)
90-x= 49 degrees (the other angle)
=====================================
Cheers,
Stan H.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
let x=first non-right angle and y=second non-right angle
The "non-right angles in a right triangle" are complementary. This means that they add to 90 degrees.
So this means that
Now since "twice the first is 16 more than twice the second", this tells us that
Start with the second equation
Divide both sides by to isolate .
Break up the fraction
Reduce
--------------------------------------------------
Go back to the first equation
Plug in
Combine like terms on the left side.
Subtract from both sides.
Combine like terms on the right side.
Divide both sides by to isolate .
Reduce. So the second angle is 41 degrees
------------------------------------------
Go back to the previously isolated equation
Plug in
Add. So the first angle is 49 degrees
===================================================
Answer:
So the solutions are and which means that the first non-right angle is 49 degrees and the second non-right angle is 41 degrees
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