Question

If m angle PQR = 141", find each measure. ​

Answer 1

x = 6

Angle PQS is 82

Angle SQR is 59

Explanation:

13x + 4 + 10x - 1 = 141

Group like terms : 23x + 3 = 141

Subtract 3 from both sides to get 23x = 138

Divide both sides by 23 to get x = 6

Angle PQS: Plug 6 into x for 13x + 4 = 13 (6) + 4 = 82

Angle SQR: Plug 6 into x for 10x - 1 = 10 (6) -1 = 59

Answer 2

x=6

pqs=82

sqr=59

Explanation:

13x + 4 + 10x - 1 = 141

23x + 3= 141

23x = 136

x = 136/23 = 6

~~~~~~~~~~~~~~~

pqs = 13x + 4 = 13(6) + 4 = 78+4 = 82

sqr = 10x - 1 = 10(6)-1 = 60 - 1 = 59