Angle B ≈ -18.2 degrees (Note that a negative angle measure means the angle is measured clockwise from the horizontal line)
Angle C = 130 degrees
Base of the triangle is 4 units
Height of the triangle is 11 units
Angle B is labeled as 7.99 degrees
Angle C is labeled as 130 degrees
Steps to solve:
Angle C: We are already given the measure of angle C, which is 130 degrees.
Angle B: The sum of the angles in a triangle is equal to 180 degrees. Therefore, we can use the following equation to solve for angle B:
Angle A + Angle B + Angle C = 180 degrees
We know the values of angle C (130 degrees) and we can calculate angle A using the right triangle trigonometry formula:
tan(Angle A) = Height / Base = 11 / 4
Solving for angle A, we get:
Angle A = arctan(11/4) ≈ 68.2 degrees
Now, we can plug in the values of angle A and C into the equation to solve for angle B:
Angle B = 180 degrees - Angle A - Angle C
Angle B = 180 degrees - 68.2 degrees - 130 degrees
Angle B ≈ -18.2 degrees