RQT is a straight angle. What are mRQS and mTQS?
(21x+3)/R______/^S_Q________T (14x+2)
Since RQT is a straight angle, we know that mRQS + mTQS = 180 degrees.
Then we can set up the equation:
(21x + 3) + (14x + 2) = 180
Combine like terms:
35x + 5 = 180
Subtract 5 from both sides:
35x = 175
Divide both sides by 35:
x = 5
Now we can substitute x = 5 back into the original expressions to find the measures of mRQS and mTQS:
mRQS = (21(5) + 3) = 108 degrees
mTQS = (14(5) + 2) = 72 degrees