Question

Finding angles , please help

Answer 1

Answer:

• m∠C = 43.6°, m∠B = 107.4°, b = 51.2

Step-by-step explanation:

Use the law of sines:

• a / sin ∠A = c / sin ∠C
• 26 / sin 29° = 37 / sin ∠C
• sin ∠C = 37 sin 29° / 26
• sin ∠C = 0.6899
• m∠C = arcsin 0.6899
• m∠C = 43.6°

Find the missing angle:

• m∠B = 180° - 29° - 43.6° = 107.4° (rounded)

Use the law of sines to find the length of b:

• a / sin ∠A = b / sin ∠B
• 26 / sin 29° = b / sin 107.4°
• b = 26 sin 107.4° / sin 29°
• b = 51.2 units (rounded)