Answer:
130°
Explanation:
Since QS bisects ∠PQR, the measures of angles PQS and SQR must be the same
m ∠PQS = 3x + 5
m ∠SQR= 2x + 25
Setting these expressions equal to each other:
3x + 5 = 2x + 25
Subtract 2x from both sides
3x - 2x + 5 = 25
x + 5 = 25
Subtract 5 from both sides
x = 20
Therefore m ∠PQS which is 3x + 5:
m ∠PQS = 3(20) + 5 = 65°
m ∠SQR = ∠PQS =65° also
Adding the two together we get
m ∠PQR = 65 + 65 = 130°