Find the value of x. The diagram is not to scale. Given: RS¯¯¯¯¯¯¯≅ST¯¯¯¯¯¯¯, m∠RST =8x−60, m∠STU=10x (1 point) Responses 14° 14degree 10° 10degree 30° 30degree 22°

Answer 1

To find the value of x, we can set up an equation using the given information.

Since RS¯¯¯¯¯¯¯≅ST¯¯¯¯¯¯¯, we can conclude that m∠RST = m∠STU.

So, 8x - 60 = 10x.

To solve the equation, we can begin by subtracting 8x from both sides:

-60 = 2x.

Then, we divide both sides by 2:

x = -30.

Since x cannot be negative in this context, we discard that solution.

Therefore, there is no valid value of x that satisfies the given conditions.