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
To find the value of x, we can use the fact that the sum of the measures of angles in a triangle is 180 degrees.
We know that m<RST = 7x - 54 and m<STU = 8x.
Since RS = ST, this means that m<RST = m<RST.
So we can set up an equation:
7x - 54 = 8x
Subtracting 7x from both sides:
-54 = x
So x = -54.
However, since x cannot have a negative value in this context, we can disregard this solution.
Therefore, there is no valid value of x that satisfies the given conditions.
The answer is: None of the above.