Answer:
x = 22°
∠PQS = 112°
∠SQR = 68°
Step-by-step explanation:
Since ∠PQR is a straight angle, it is equal to 180°. This means that ∠PQS and ∠SQR added together is also equal to 180°.
∠PQS + ∠SQR = 180°
(6x - 20) + (3x + 2) = 180°
6x + 3x + 2 - 20 = 180°
9x - 18 = 180°
9x = 198°
x = 22
Now, we can substiute x into ∠PQS and ∠SQR.
∠PQS
(6(22) - 20)
∠PQS = 112°
∠SQR
(3x + 2)
(3(22) + 2)
∠SQR = 68°
