The value of x is 15.6.
To find the value of x, we can set up an equation based on the given information. Since RS=ST, we know that m RST + m STU = 180.
We can also substitute in the expressions given for each measure:
7x - 54 + 8x = 180
Combine like terms:
15x - 54 = 180
Add 54 to both sides:
15x = 234
Divide both sides by 15:
x = 15.6
Therefore, the value of x is 15.6.
Question
Find the value of x. The diagram is not to scale. Given RS=ST, m RST=7x-54, mSTU=8x
A.14
B. 152
C.16
D.19