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The value of x is_degrees

The value of x is_degrees-example-1
User Zeveso
by
8.4k points

2 Answers

6 votes

Answer:

x=19

Explanation:

The total angle in a straight line is 180 degrees.

To work this out you would first add 7 and 4 to -2, this gives you 9. Then you would minus 9 from 180, which gives you 171. This is because you are removing the extra numbers and so all you are left with is the x's. Then you would add 5x and x and 3x, which gives you 9x. Then you would divide 171 by 9, which gives you 19.

1) Add 7 and 4 and -2.


7+4+(-2)=9

2) Minus 9 from 180.


180-9=171

3) Add 5x and x and 3x.


5x+x+3x=9x

4) Divide 171 by 9.


171/9=19

5)
x=19

User Carlos Quintero
by
7.7k points
4 votes

The sum of all the angles is 180 degrees because this is a supplementary angle.

5x + 4 + x - 2 + 3x + 7 = 180

Now you can combine like terms:

(5x + x + 3x) + (4 - 2 + 7) = 180

9x + 9 = 180

Now you must isolate x:

9x + 9 - 9 = 180 - 9

9x + 0 = 171

9x = 171

9x/9 = 171/9

x = 19

Check:

5(19) + 4 + 19 - 2 + 3(19) + 7

95 + 4 + 19 - 2 + 57 + 7

180

Hope this helped! Let me know if you have any further questions

~Just a girl in love with Shawn Mendes

User Matt Foley
by
8.1k points

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