1. R is between S and T. RS = 5x – 13, RT = 2x + 5, and ST = 3x + 24.
Find the value of x and ST.
S
R.

The value of x is 8, and m<ST = 48 degrees.

Step-by-step 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.  

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step-by-step explanation: