Question

Hi could someone just help me with this I'm not sure if i'm doing it correctly.

Answer 1

Two angles are supplementary when they add up to 180 degrees ⇒
m∠1 + m∠2 = 180°
4y + 7 + 9y + 4 = 180
13y + 11 = 180
13y = 180 - 11
13y = 169
y = 169/13
y = 13

m∠2 = 9y + 4 = 9 * 13 + 4 = 121°