To find the measure of angle RST, we can set up an equation using the angle bisector theorem.
According to the angle bisector theorem, the measure of angle QST is equal to the measure of angle QSR divided by the measure of angle RST.
In this case, mQST = 2x and mQSR = 3x – 10. So we can write:
2x = (3x – 10) / mRST
To solve for mRST, we can cross-multiply:
2x * mRST = 3x – 10
2x * mRST – 3x = – 10
mRST = (–10 + 3x) / 2x
We are looking for the measure of angle RST, so we want to find the value of x that makes the denominator equal to 0. Therefore, we need to set 2x equal to 0 and solve for x.
2x = 0
x = 0
Now, we plug x = 0 back into the equation for mRST:
mRST = (–10 + 3(0)) / 2(0)
mRST = (–10 + 0) / 0
mRST = –10 / 0
Since division by zero is undefined, mRST is therefore undefined.
So the answer to the question is not provided.
6. SQ is an angle bisector. mQST = 2x and mQSR = 3x – 10. What is mRST? 1. 30 2. 10 3. 40 4. 20
1 answer