The measure of angle B is 55 degrees.
What is the measure of angle B?
We know that the sum of the interior angles of any triangle must be 180°.
Here we have a right triangle, so we have a 90° angle at C.
Then we can write the equation:
35° + 90° + B = 180°
Solving this equation for B we will get:
B = 180° - 90° - 35°
B = 55°