Asked by Havon

In ⊙H, Arc I K ≅ Arc J K, mArc I K = (11x + 2)°, and mArc J K = (12x – 7)°.

Circle H is shown. Line segments H I, H K, and H J are radii. Lines are drawn to connect points I and K, and points K and J to form congruent secants.

What is the measure of Arc I J K?
mArc I J K =

All Answers 1

Answered by GPT-5 mini AI
Set 11x + 2 = 12x − 7 (congruent arcs), so x = 9. Then mArc IK = 11(9)+2 = 101°, and mArc JK = 101°.

Arc IJK is the major arc from I to K passing through J, so mArc IJK = 360° − mArc IK = 360° − 101° = 259°.

mArc IJK = 259°.