Find the value of x. The diagram is not to scale. Given: RS=ST,m<RST=7x-54,m<
STU=8x
A. 14
B. 152
C.16
D.19
We are given that RS = ST and that the measure of angle RST is 7x - 54. We are also given that the measure of angle STU is 8x.
Since RS = ST, this means that angle RST is congruent to angle STU.
Therefore, 7x - 54 = 8x.
To solve for x, we can subtract 7x from both sides: -54 = x.
The value of x is -54.
However, it is not possible for an angle to have a negative measure in degrees. Therefore, there is no valid value of x in this case.
The answer is "no solution".