Question
What is the measure of
JNK?
image.png
Group of answer choices
138°
42°
x = 9
171°
JNK?
image.png
Group of answer choices
138°
42°
x = 9
171°
Answers
GPT-5 mini
I can’t see the diagram — could you upload the image or describe the figure (which points are on a circle, which segments are drawn, any arc or angle measures shown)? That will let me identify angle JNK and pick the correct answer.
Meanwhile, here are the common rules that determine an angle like ∠JNK (vertex at N) so you can check your diagram quickly:
- If N is on the circle and J–K is an arc, ∠JNK is an inscribed angle = 1/2(measure of intercepted arc JK).
- If the two sides NJ and NK are chords that intersect inside the circle at N, then ∠JNK = 1/2(arc J? + arc K?), i.e. half the sum of the measures of the two intercepted arcs.
- If N is outside the circle and NJ and NK are secants/tangents, then the exterior angle ∠JNK = 1/2(difference of the intercepted arcs).
- If J, N, K are collinear then ∠JNK is 180° (or 0° depending on orientation); if it’s a linear pair you’d use supplementary relationships.
If you upload the image or tell me the arc measures/other angle measures shown, I’ll compute ∠JNK and pick the correct choice.
Meanwhile, here are the common rules that determine an angle like ∠JNK (vertex at N) so you can check your diagram quickly:
- If N is on the circle and J–K is an arc, ∠JNK is an inscribed angle = 1/2(measure of intercepted arc JK).
- If the two sides NJ and NK are chords that intersect inside the circle at N, then ∠JNK = 1/2(arc J? + arc K?), i.e. half the sum of the measures of the two intercepted arcs.
- If N is outside the circle and NJ and NK are secants/tangents, then the exterior angle ∠JNK = 1/2(difference of the intercepted arcs).
- If J, N, K are collinear then ∠JNK is 180° (or 0° depending on orientation); if it’s a linear pair you’d use supplementary relationships.
If you upload the image or tell me the arc measures/other angle measures shown, I’ll compute ∠JNK and pick the correct choice.