Ask a New Question
Menu

RQT is a straight angle. What are mRQS and m​TQS?

(21x+3)/R______/^S_Q________T (14x+2)

1 answer

Since RQT is a straight angle, we know that mRQS + m​TQS = 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