anonymous
  • anonymous
WILL GIVE MEDALS!!!!! The measure of the second angle of a triangle is twice the measure of the first angle. The measure of the third angle is 10° less than the measure of the first angle. Find the measure of the second angle.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
The answer choices: A. 47.5° B. 80° C. 37.5° D. 95°
welshfella
  • welshfella
let first angle = x then second angle = 2x
anonymous
  • anonymous
Okay what next?

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welshfella
  • welshfella
and third angle = x - 10
anonymous
  • anonymous
Then?
welshfella
  • welshfella
well the 3 angles add up to 180 so we can write an equation any ideas ?
anonymous
  • anonymous
Nope that's why I'm asking for help. If I knew how to set it up I could most likely do it.
welshfella
  • welshfella
x + 2x + x - 10 = 180 makes sense?
welshfella
  • welshfella
the 3 angles are on the left and 180 on the right so now if you solve for x youll find the measure of the first angle second angle = 2 8 x
welshfella
  • welshfella
* 2 * x
anonymous
  • anonymous
Okay how do I set up that part.
welshfella
  • welshfella
add up the first 3 terms x + 2x + x = ?
anonymous
  • anonymous
?
welshfella
  • welshfella
the angle x + twice the angle x + angle x = how many angle x's?
anonymous
  • anonymous
x + 2x + x = 3?
welshfella
  • welshfella
1 + 2 + 1 = how many
anonymous
  • anonymous
4, sorry I forgot to count both of the Xs for 2x.
welshfella
  • welshfella
right 1 + 2 + 1 = 5 in same way x +2x + x = 4x
welshfella
  • welshfella
* lol thats 4 NOT 5!!
welshfella
  • welshfella
so we have 4x - 10 = 180 add 10 to both sides 4x - 10 + 10 = 180 + 10 4x = 190 x = 190/4
welshfella
  • welshfella
now divide 190 by 4 to get x then multiply the result by 2 to get the values of 2x which is the values of the second angle
anonymous
  • anonymous
190 / 4 = 47.5 47.5 * 2 = 95
welshfella
  • welshfella
correct
anonymous
  • anonymous
That's the answer to the whole problem ain't it?
anonymous
  • anonymous
Thanks
welshfella
  • welshfella
yes yw

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