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nydimaria [60]
2 years ago
10

Please help :( find b

Mathematics
1 answer:
alisha [4.7K]2 years ago
6 0

Answer:

The measure of angle b is 55 degrees.

Step-by-step explanation:

First, recall the circle's theorem below.

<em>The angle between a tangent and a radius is a right angle.</em>

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.

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