Answer:
∠B = 72.7°.
∠C = 76.3°
Step-by-step explanation:
The law of sine sinA /a = sinB/b = sinC/c
Let's find angle C.
(sinC)/c = (sinA)/a
C = sin⁻¹(c·sinA / a)
Plugging in numbers:
C = sin⁻¹(83·sin(31) / 44)
= sin⁻¹(0.97155)
Angle C = 76.3°
We know that the sum of the internal angles of a triangle is 180°.
Therefore, B = 180 - (A + C)
= 180 - (31 + 76.3)
= 180 - 107.3
= 72.7°
∠B is 72.7°.
Hope this will helpful.
Thank you.
