What is LaTeX: m\angle PQRm ∠ P Q R? Line PS with midpoint at Q and ray QR. Angle pqr is 3x-6 and angle rqs is x+2

Step-by-step explanation:

If line PS has midpoint a Q and ray QR, then line PQS will be a straight line and <PQR + <RQS = 180 (sum of angle on a straight line).

Given

<PQR = 3x-6

<RQS = x+ 2

To get x, we will use the relationship above;

3x-6+x+2 = 180

4x-4 = 180

add 4 to both sides

4x-4+4 = 180+4

4x = 184

x = 184/4

x = 46

Since <PQR = 3x-6, we will substitute the value of x into the formula;

<PQR = 3x-6  

<PQR = 3(46)-6

<PQR = 138-6

<PQR = 132°

Hence the size of angle PQR is 132°