The measure of angle B in the triangle is 145 degrees. This is because the sum of the angles in a triangle is 180 degrees, and we are given that angle A is 35 degrees. Therefore, angle B and angle C must together add up to 145 degrees, and since angle B is supplementary to angle A, it must be 145 degrees. So the correct option is D.
The question in the image asks for the measure of angle B in the triangle. To find this, we can use the fact that the sum of the angles in a triangle is equal to 180 degrees. In this triangle, we are given the measure of angle A, which is 35 degrees. We can also see that angle B and angle C are together supplementary to angle A, meaning they add up to 180 degrees.
Therefore, to find the measure of angle B, we can subtract the measure of angle A from 180 degrees.
180 degrees - 35 degrees = 145 degrees
Therefore, the measure of angle B is 145 degrees.
The answer is D. 125°.