SOLUTION: a triangle has three angles one is 65, 35 and 2 (x-10) what is the third angle? Please show me how to get it, I'm lost. Thank you

Algebra ->  Triangles -> SOLUTION: a triangle has three angles one is 65, 35 and 2 (x-10) what is the third angle? Please show me how to get it, I'm lost. Thank you       Log On


   

Question 1133689: a triangle has three angles one is 65, 35 and 2 (x-10)
what is the third angle? Please show me how to get it, I'm lost. Thank you
Found 2 solutions by Edwin McCravy, MathLover1:
Answer by Edwin McCravy(20077) About Me  (Show Source):
You can put this solution on YOUR website!
In any triangle,



So, if all you want is just the Third angle, then
Just add the two given angles 65°+35°, getting 100°.
Then subtract that from 180°.

180° - 100° = 80°

So the third angle is 80°.  That's the answer!

Then the 2(x-10) is not necessary at all.

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However, if your teacher wants you to find x, then 

2(x-10) = 80°
 2x-20° = 80°
   +20°  +20°
 2x     = 100°
  x     = 50°
 
Edwin

Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

a triangle has three angles and their sum is 180°
if one is 65, 35+and 2+%28x-10%29, we have
65%2B35+%2B2+%28x-10%29=180.........solve for x
100%2B2x-20=180
80%2B2x=180
2x=180-80
2x=100
x=50=> now find the third angle
2+%28x-10%29..substitute x
2+%2850-10%29
2+%2840%29
80°->the third angle
check the sum:
65%2B35+%2B80=180
180=180