Question 1035997
if i understand this correctly, your two angles are:


angle TQS = 6x + 20
angle SQR = 2x + 14


these angles are supplementary, therefore the sum of their measures is 180 degrees.


you get 6x + 20 + 2x + 14 = 180
combine like terms to get 8x + 34 = 180
subtract 34 from both sides of this equation to get 8x = 146
divide both sides of this equation by 8 to get x = 18.25


x = 18.25
6x + 20 = 129.5
2x + 14 = 50.5
the sum of the angles is 129.5 +50.5 = 180


the solution looks good.


angle TQS is equal to 129.5 degrees.
angle SQR is equal to 50.5 degrees.