Answer:
The measure of angle b is 55 degrees.
Step-by-step explanation:
First, recall the circle's theorem below.
The angle between a tangent and a radius is a right angle.
As a result, we have the diagram below.
Using the sum of angles in a triangle, we find the value of x above.
90+35+x=180
125+x=180
x=180-125
x=55
From another circle's theorem:
The measure of the angle of an arc is equal to the measure of the angle it subtends at the circle.
Therefore:
x=b=55
The measure of angle b is 55 degrees.
