Question

Please help :( find b

Answer 1

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.