Question

In order to answer the following question, please use the image below:

Line t is tangent to the circle. Find the m∠3.

m∠3 =(Blank)

What is the degree measurement of m<3?

Please show all the work on how you got your answer. (Note: Listen, if you can't explain your work then it's fine. All that I am asking for is the work to be shown along with your answer so I can know how you got it)

Answer 1

110°

Explanation:

With the centre, the chord makes an isosceles triangle

Angle 3 is 90 + angle of the triangle

90 + (180 - 140)/2

90 + 40/2

90 + 20

110

Answer 2

110°

Explanation:

The angle intercepting the arc shown as 140° will have half that measure, so is 70°.

Angle 3 is the supplement to that 70° angle, so is ...

180° -70° = 110°