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angle rst = 2x+8, angle tsw= 3x+14, angle rsw= 7x-2. find tsw. apparently x= 12, but idk the steps to get it bc whatever i do, i get 6x=8... please help

Respuesta :

Answer:

angle(TSW) is 18

Step-by-step explanation:

we are given angles

angle(RST)=2x+8

angle(TSW)=3x+14

angle(RSW)=7x-2

Firstly, we will draw diagram

so, we get

angle(TSW)=angle(RST)+angle(RSW)

so, we can plug values

[tex]3x+14=2x+8+7x-2[/tex]

now, we can solve for x

[tex]9x-3x=14-6[/tex]

[tex]6x=8[/tex]

now, we can solve for x

[tex]x=\frac{4}{3}[/tex]

now, we can find angle (TSW)

angle(TSW) is

[tex]=3\times \frac{4}{3} +14[/tex]

[tex]=4 +14[/tex]

[tex]=18[/tex]

So, angle(TSW) is 18

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