Question

Circle C is shown. 2 secants intersect at a point outside of the circle to form angle 1. The first arc formed is 36 degrees, and the second arc formed is 106 degrees. In the diagram of circle C, what is the measure of ∠1? 17° 35° 70° 71° Mark this and return

Answer 1

Answer: B: 35°

Just took quiz.

Answer 2

The measure of
`\angle 1= 35\ (degrees)`.

Explanation:

Here is the complete question attached with.

Note:The measure of an angle with its vertex outside the circle is half the difference of the intercepted arcs.

The formula is :
`m\ external\  \angle = (1)/(2) (difference\ of\ arc\ \angle s )`

So
`\angle 1 =(106-36)/(2) =(70)/(2) = 35` (degrees)

So the final value of
`\angle 1` is
`35` degree.

Option B from the option is the right answer.