Answer:
The value of x is 8, and m<ST = 48 degrees.
Explanation:
With the given information, we know the worth of each angle. To solve it, an equation must be made.
RS (part) + RT (part) = ST (whole)
Should look like this: 5x - 13 + 2x + 5 = 3x + 24.
Then solve the equation.
First, add up all that has in common:
Should look like: 7x - 8 = 3x + 24
Then move 3x from the right to the left by subtraction.
Should look like: 4x - 8 = 24
Next, move the 8 to the other side by addition.
Should look like: 4x = 32
Finally, to find what the value of x is, divide 4 on both sides.
You should get an answer of x = 8.
To find the measurement of ST, replace the x in 3x + 24.
3(8) + 24 = 48.
m<ST = 48 degrees.