Find each measure cause i don't understand?
2 answers:
Answer:
x= 6
m∠PQS= 82°
m∠SQR= 59°
Step-by-step explanation:
m∠PQR= m∠PQS +m∠SQR
Since m∠PQR= 141°,
m∠PQS +m∠SQR= 141°
(13x +4)° +(10x -1)°= 141°
13x +4 +10x -1= 141
Simplify:
23x +3= 141
Minus 3 on both sides:
23x= 141 -3
23x= 138
x= 138 ÷23
x= 6
m∠PQS
= (13x +4)°
= [13(6) +4]°
= (78 +4)°
= 82°
m∠SQR
= [10(6) -1]°
= (60 -1)°
= 59°
Alternatively,
m∠SQR
= 141° -82°
= 59°
Answer:
x=6 . m<PQS=82 m<SQR=61 :)
Step-by-step explanation:
(13x+4) + (10x-1) = 141
combine like terms
23x+3=141
subtract 3 from both sides
23x=138
divide both sides by 23
x=6
substitute x into both original equations
m<PQS=13(6)+4
m<PQS=78+4
m<PQS= 82
m<SQR=10(6)+1
m<SQR=60+1
M<SQR=61
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