Answer:
[tex]\text{Arc JK = 124}\degree[/tex]
Explanation:
Here, we want to get the value of the arc JK
To get this, we need the angle measure of the bigger arc JK that does not pass through Q
To get that, we can use the angle theorem since we have the measure of the angle that faces the arc
Mathematically, we have this as:
[tex]2\text{ }\times\text{ m}\angle JQK\text{ = 2}\times118\degree\text{ = 236}\degree[/tex]
Now, the measure of the arc will be the difference between the larger arc and 360
This is because the larger and the smaller arc adds up to 360°
Thus, we have the measure of the arc as:
[tex]360\degree-236\degree\text{ = 124}\degree[/tex]
