Use the Law of Sines to find the missing angle of the triangle.
Find m∠B to the nearest tenth.
Leg: 13
Base: 19
Base angle: 40°
a. 110.0°
b. 153.9°
c. 26.1°
d. 70.0°
We can use the Law of Sines to solve this problem:
Sin(40°) / 19 = Sin(m∠B) / 13
First, we can simplify the equation by multiplying both sides by 13:
Sin(40°) * (13/19) = Sin(m∠B)
Now we can use the inverse sine function to solve for m∠B:
Sin^-1(Sin(40°) * (13/19)) ≈ 26.1°
Therefore, the missing angle m∠B is approximately 26.1°, so the answer is c. 26.1°.