Question

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

Answer 1

angle(TSW) is 18

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

`3x+14=2x+8+7x-2`

now, we can solve for x

`9x-3x=14-6`

`6x=8`

now, we can solve for x

`x=(4)/(3)`

now, we can find angle (TSW)

angle(TSW) is

`=3* (4)/(3) +14`

`=4 +14`

`=18`

So, angle(TSW) is 18