Find the value of x. The diagram is not to scale.
Given: RS¯¯¯¯¯¯¯≅ST¯¯¯¯¯¯¯, m∠RST =8x−60, m∠STU=10x
To find the value of x, we can set the measures of the angles equal to each other and solve for x.
Since RS¯¯¯¯¯¯¯≅ST¯¯¯¯¯¯¯, we can conclude that m∠RST = m∠STU.
Therefore, we have the equation:
8x - 60 = 10x
Subtracting 8x from both sides, we get:
-60 = 2x
Dividing both sides by 2, we get:
-30 = x
Thus, the value of x is -30.