Answer:
∠ 1 = 109° , ∠ 2 = 71°
Step-by-step explanation:
The 2 angles form a linear pair and sum to 180°
Sum the 2 angles and equate to 180
5x + 9 + 3x + 11 = 180 , that is
8x + 20 = 180 ( subtract 20 from both sides )
8x = 160 ( divide both sides by 8 )
x = 20
Then
∠ 1 = 5x + 9 = 5(20) + 9 = 100 + 9 = 109°
∠ 2 = 3x + 11 = 3(20) + 11 = 60 + 11 = 71°
