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2 years ago

Finding angles , please help

Mathematics

1 answer:

jek_recluse [69]2 years ago

8 0

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)

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