Question

answer the following

Answer 1

Answer:

as PQR is a single line so,

Angle PQS+angle SQR=180°

=> 3x+10+9x+2=180

=> 12x=180-12

=> 12x=168

=> x=168/12

=> x=14

so, angle SQP

=(3x+10)°=(3.14+10)°=(42+10)°=52°

angle SQR=(9x+2)°=(9.14+2)°=(126+2)°=128°

Answer 2

POQ is a straight line.
3x + 10 + 9x + 2 = 180
[angles on a straight line]
12x + 12 = 180
12x = 180-12
12x = 168
x = 168/12
x = 14

• Angle SQP = 3x + 10
3*14 + 10 = 52
• Angle SQR = 9x + 2
9*14 + 2 = 128