Respuesta :
Answer:
A) m∠A = 40°, m∠B = 75°, m∠C = 65°
B) m∠A = 136°, m∠B = 28°, m∠C = 16°
E) m∠A = 60°, m∠B = 60°, m∠C = 60°
Step-by-step explanation:
edge
The angle measurements that can form triangle ABC are
- m∠A = 40°, m∠B = 75°, m∠C = 65°
- m∠A = 136°, m∠B = 28°, m∠C = 16°
- m∠A = 60°, m∠B = 60°, m∠C = 60°
How to determine the angle measurements?
The angle measurements that can form a triangle must add up to 180 degrees.
i.e. a + b + c = 180
Using the above formula, we have:
40 + 75 + 65 = 180
136 + 28 + 16 = 180
60 + 60 + 60 = 180
Other angles do not add up to 180.
Hence, the angle measurements that can form triangle ABC are
- m∠A = 40°, m∠B = 75°, m∠C = 65°
- m∠A = 136°, m∠B = 28°, m∠C = 16°
- m∠A = 60°, m∠B = 60°, m∠C = 60°
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