Asked by jonothan
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 (arcs IK and JK are congruent). So x = 9.
Then arc IK = 11(9) + 2 = 101°.
Arc IJK (the arc from I to K passing through J) is the rest of the circle: 360 − 101 = 259°.
mArc IJK = 259°.
Then arc IK = 11(9) + 2 = 101°.
Arc IJK (the arc from I to K passing through J) is the rest of the circle: 360 − 101 = 259°.
mArc IJK = 259°.
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