Answer:
32°
Step-by-step explanation:
Since the 147° angle and ∠2 form a Linear pair, sum of these angle must be 180°
147° + ∠2 = 180°
∠2 = 180° - 147° [subtracting 147° from both sides]
∠2 = 33°
Since all internal angles of a triangle add up to 180°,
∠1 + ∠2 + 115° = 180°
∠1 + 33° + 115° = 180°
∠1 + 148° = 180°
∠1 = 180° - 148° [subtracting 148 from both sides]
∠1 = 32°
