Answer:
m∠2 = 121°
Step-by-step explanation:
Supplementary angles mean angles that add to 180°.
Since ∠ 1 and ∠ 2 are supplementary:
∠1 + ∠2 = 180° Substitute using their equations
4y + 7 + 9y + 4 = 180° Combine like terms
13y + 11 = 180°
13y = 180 - 11 Subtract 11 from each side
13y = 169
y = 169/13 Divide each side by 13
y = 13
Use y=13 and substitute into the equation for ∠ 2
m∠2 = 9y + 4
m∠2 = 9(13) + 4 Multiply 9 and 13
m∠2 = 117 + 4 Add
m∠2 = 121° Final answer