SOLUTION: This is my question. A, b, c are angles around a point. (I already know that angles around a point is 360). Angle b is 15 degrees more than angle a. Angle c is 95 degrees. By con

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Question 824226: This is my question.
A, b, c are angles around a point. (I already know that angles around a point is 360). Angle b is 15 degrees more than angle a. Angle c is 95 degrees. By constructing an equation and solving it, find angle a and b.
This is what I have tried before asking.
A+b+c=360
A+b+95=360
A+b=360-95
A+b=265
15+b=265
B=265-15
B=240
This is where I get stuck because even with this answer(so if a and b equal this) 240+95 does not equal 360 but equals 335. Can you tell me where I went wrong please. Thanks.
Found 2 solutions by richwmiller, MathTherapy:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
You went wrong here.
a+b=265
15+b=265
should be a=15+b
and since
a+b=265
b+15+b=265
2b=250
b=125
a+125=265
a=140
c=95

Answer by MathTherapy(10553)   (Show Source): You can put this solution on YOUR website!

This is my question.
A, b, c are angles around a point. (I already know that angles around a point is 360). Angle b is 15 degrees more than angle a. Angle c is 95 degrees. By constructing an equation and solving it, find angle a and b.
This is what I have tried before asking.
A+b+c=360
A+b+95=360
A+b=360-95
A+b=265
15+b=265
B=265-15
B=240
This is where I get stuck because even with this answer(so if a and b equal this) 240+95 does not equal 360 but equals 335. Can you tell me where I went wrong please. Thanks. 


You're correct up to: a + b = 265 ----- eq (i)

After that, it should be: b = a + 15

a + a + 15 = 265 ------- Substituting a + 15 for b in eq (i)

2a = 265 - 15

2a = 250

a = , or 

b = 265 - 125, or 

You can do the check!! 



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