Given:
m∠C = 65°
b = 5
c = 6
Apply the Law of Sines.
sin(B)/b = sin(C)/c
sin(B)/5 = sin(65)/6
sin(B) = (5*sin(65))/6 = 0.7553
B = arcsin(0.7553) = 49.05°
Answer: m∠B = arcsin(0.7553) = 49° (approx)
Answer:
38°
Step-by-step explanation:
The figure given is a triangle.
Sum of angles in triangle = 180°
So;
∠D + ∠E + ∠F = 180°
( 5x - 2) + (9x + 3) + (11x - 21) = 180
5x -2 + 9x + 3 + 11x -21 = 180
25x -20 = 180
25x = 200
x = 8
Now since ∠D = 5x -2;
∠D = 5(8) - 2 = 38°