Answer
Angle 1 = 109°
Angle 2 = 71°
Step-by-step explanation
We are told that Angle 1 and 2 form a linear pair. This means that they sum up to give 180°.
Angle 1 = 5x + 9
Angle 2 = 3x + 11
(Angle 1) + (Angle 2) = 180°
5x + 9 + 3x + 11 = 180°
8x + 20° = 180°
8x = 180° - 20°
8x = 160°
Divide both sides by 8
(8x/8) = (160°/8)
x = 20°
Angle 1 = 5x + 9 = 5 (20°) + 9° = 100° + 9° = 109°
Angle 2 = 3x + 11 = 3 (20°) + 11 = 60° + 11° = 71°
Hope this Helps!!!