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Sagot :
Answer: 150.77 and 29.23
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Explanation:
x = larger angle
y = smaller angle
x-y = difference of the angles = 121.54
x-y = 121.54 is one equation
x+y = 180 is the other equation since supplementary angles always add to 180 (they form a straight line).
We have this system we're working with
[tex]\begin{cases}x-y = 121.54\\x+y = 180\end{cases}[/tex]
Add the equations straight down.
- x+x = 2x
- -y+y = 0y, the y terms go away
- 121.54+180 = 301.54
We're left with this reduced equation
2x = 301.54
Divide both sides by 2 to isolate x
x = 301.54/2
x = 150.77
Use this to find the value of y
x-y = 121.54
150.77-y = 121.54
-y = 121.54-150.77
-y = -29.23
y = 29.23
Or we could say
x+y = 180
150.77+y = 180
y = 180-150.77
y = 29.23
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Summary:
x = 150.77 and y = 29.23 are the two angles.
I'll let you check the answers.
Answer:
150.77° and 29.23°
Step-by-step explanation:
Let:
- x = the biggest supplementary angle
- y = the smallest supplementary angle
The sum of the angles is 180*
The difference is 121.54°
The system of equations:
[tex]\left \{ {{x+y=180} \atop {x-y=121.54}} \right.[/tex]
Solve:
- Eliminate y by adding vertically
- [tex]\begin{array}{ccc}x+y=180\\+(x-y=121.54)\end/[/tex]
- 2x + 0 = 301.54
- 2x = 301.54
- x = 150.77
Now we know what x is, we can plug it into the first equation to solve for y.
- x + y = 180
- 150.77 + y = 180
- y = 29.23
-Chetan K
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