Based on the diagram below, what is the interior measure of ∠Y ?

Answer:
∠Y = 104°
Step-by-step explanation:
vertical angles are equal ⇒ ∠DAN = ∠SAY = 48°
Sum of interior angles of a triangle = 180°
⇒ ∠SYA + 56 + 48 = 180
⇒ ∠SYA = 76°
Angles on a straight line add up to 180°
⇒ ∠Y + ∠SYA = 180°
⇒ ∠Y + 76 = 180
⇒ ∠Y = 104°