Question

What is the value of b?

Answer 1

Look on the attachment I posted. What is the degree measure of the green arc?

Answer 2

@Directrix Is it 90?? /: I'm not 100% sure if thats right

Answer 3

That is correct because that angle with measure 90 is a central angle and the measure of a central angle of a circle is the same as that of its intercepted arc.

Answer 4

There are 360 degrees in a circle. The red is 110, the green is 90. So how much is the blue. Click on the attached diagram.

Answer 5

Is it 160? @Directrix

Answer 6

Right again.

Answer 7

That angle with measure b is an angle formed by a tangent and a secant segment on the circle. I am attaching an explanation of how to get the measure of that type angle.

Answer 8

Last step. What is b. Look at the attachment below.

Answer 9

80! @Directrix

Answer 10

Correct Again.