Answer:
I hated deltamath (I think it is, looks familiar), anyways I believe the measure of angle SQR is 66.8 degrees
Explanation:
m/RST = (6x + 7)°
m/QRS = (x-3)°
m/SQR = (3x + 20)°
According to triangle angle sum property, we have
m/RST + m/QRS + m/SQR = 180
Now we can substitute the given angle measures
(6x + 7) + (x-3) + (3x + 20) = 180
10x + 24 = 180
10x = 156
x = 15.6
Now we can find the measure of angle SQR
m/SQR = (3x + 20)°
m/SQR = 3(15.6) + 20
m/SQR = 46.8 + 20
m/SQR = 66.8°