Question

find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent. ​

Answer 1

The measure of arc JM is
`155\°`

Explanation:

we know that

The measurement of the outer angle is the semi-difference of the arcs which comprises

so

`40\°=(1)/(2)(arc\ JM-arc\ KM)`

substitute the given value

`40\°=(1)/(2)(arc\ JM-75\°)`

`80\°=(arc\ JM-75\°)`

`arc\ JM=80\°+75\°=155\°`