Question

The measure of ⏜ is 161°, and the measure of ⏜ is 107°.

What is the measure of ∠ ?

Answer 1

46

Explanation:

Since two of the arc measure 161 and 107, we can find the other two by finding a number that will equal it to 180.

`161 + 19 = 180`

`107 + 73 = 180`

19 and 73 are the missing arcs.

We then apply intersecting secants theorem,

`(19 + 73)/(2 ) = 46`

46 is the answer