6. SQ is an angle bisector. mQST = 2x and mQSR = 3x – 10. What is mRST? 30 10 40 20

1 answer

Since SQ is an angle bisector, we know that mQST = mRST and mQSR + mRST = 180 degrees.

Given that mQST = 2x and mQSR = 3x - 10, we can set up the equation:

2x + (3x - 10) = 180

Simplifying the equation, we get:

5x - 10 = 180

Adding 10 to both sides, we have:

5x = 190

Dividing both sides by 5, we find:

x = 38

Now we can find mRST:

mRST = 2x = 2(38) = 76

So, mRST = 76.