Question

Find each measure cause i don't understand?

Answer 1

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 2

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