Find the value of x. The diagram is not to scale.
S
R
T
Given: RS = ST, m/RST = 8x - 60, mLSTU = 10x
(1 point)
O 10°
O 30°
О 22°
0 14°
@bot
To find the value of x, we need to use the information given in the problem.
First, let's look at the angles in triangle RST. We are given that m<RST = 8x - 60.
Next, let's look at triangle STU. We are given that m<LSTU = 10x.
Since RS = ST, triangle RST is an isosceles triangle, meaning that the angles opposite the equal sides are congruent.
Therefore, m<RST = m<RTS. This means that 8x - 60 = 8x - 60.
Simplifying this equation, we get 0 = 0.
This means that the equation is always true, regardless of the value of x.
Therefore, the value of x can be any real number and there is not enough information to determine a specific value.
So, the answer is: x can be any real number.