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How to find the value of x in a triangle (5x-11)°, (2x+20)°, (11x-63)°

User Micharaze
by
9.0k points

2 Answers

5 votes
Answer:
x=13

Step-by-step explanation:
All the angles in a triangle add up to 180 degrees, and this is true for every and any triangle. Knowing this, we can set up this equation and solve:

(5x-11)+(2x+20)+(11x-63)=180
1) Open up parentheses
5x-11+2x+20+11x-63=180
2) Combine like terms
5x+2x+11x-11+20-63=180
18x-54=180
3) Add both sides by 54
18x-54+54=180+54
18x=234
4) Divide both sides by 18
18x/18=234/18
x=13

I hope this helps!
User Noemi
by
8.4k points
6 votes

Answer:

x=13

Step-by-step explanation:

Well, the triangle is always equal to 180 degrees in total. Lets remember that x will always be the same in every equation.

So, (5x-11) x (2x+20) x (11x-63) = 180.

Now, take away the parenthesis and add up all the like terms.

This should = 18x-54 = 180.

Now solve like you regularly would. Add 54 on both sides which equals,

18x=234. Now, divide 18 on both sides.

x = 13.

Hope this helps.

User Matt Savoie
by
8.5k points

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