Answer:
∠ PQR = 150°
Step-by-step explanation:
∠ PQR = ∠ PQS + ∠ SQR , substitute values
12x - 6 = 16 + 9x + 17
12x - 6 = 9x + 33 ( subtract 9x from both sides )
3x - 6 = 33 ( add 6 to both sides )
3x = 39 ( divide both sides by 3 )
x = 13
Then
∠ PQR = 12x - 6 = 12(13) - 6 = 156 - 6 = 150°
Answer:
m<PQR = 150°
Step-by-step explanation:
<PQR = (12x-6)°
<SQR = (9x+17)°
<PQS = 16°
find m<PQR.
since <SQR + <PQS = <PQR,
then (9x+17)° + 16° = (12x-6)°
combine like terms;
9x + 17 + 16
9x + 33 = 12x - 6
subtract 33 from both sides;
9x = 12x - 39
subtract 12x from both sides;
-3x = -39
divide by -3;
x = 13, then input x into the equation for m<PQR;
m<PQR = (12x-6)°,
(12(13)x - 6)°
(156 - 6)°
Answer: 150°
