To find the missing angle, we can use the Law of Sines. The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant.
To find angle B, we can use the following equation:
sin(B)/b = sin(A)/a
where angle A is 70 degrees, side a is 12 units, and side b is 20 units.
Plugging in the values we have:
sin(B)/20 = sin(70 degrees)/12
sin(B) = 20 * sin(70 degrees) / 12
sin(B) = 0.9397
Now, we can solve for angle B by taking the inverse sine of 0.9397:
B = sin^(-1)(0.9397)
B ≈ 69.0 degrees
Therefore, angle B is approximately 69.0 degrees.
The closest option provided is 70.0º.
Use the Law of Sines to find the missing angle of the triangle.
Find m∠B to the nearest tenth.
triangle
(1 point)
Responses
110.0º
110.0º
153.9º
153.9º
26.1º
26.1º
70.0º
1 answer
1 answer