Question

What is the value of x? Triangle RST

Answer 1

We can see that

angle(C)=angle(B)

Since, both angles are equal

so, this is isosceles triangle

and in isosceles triangle , two sides are equal

so, we get

`AC=AB`

now, we are given

`AC=x+9`

`AB=2x-8`

now, we can set them equal

`x+9=2x-8`

we can solve for x

Add both sides 8

`x+9+8=2x-8+8`

`x+17=2x`

Subtract both sides by x

`x+17-x=2x-x`

`17=x`

So, we get

`x=17`..............Answer