JK = 101°
The correct answer is option (A) 101°
What is an inscribed angle?
"It is an angle in a circle formed by two chords that have a common end point on the circle."
For given example,
m ∠J = 39.59°
We know, the measure of an inscribed angle in a circle equals half the measure of its intercepted arc.
⇒ m(∠J) = (1/2) × arc KH
⇒ arc KH = 2 × 39.59°
⇒ arc KH = 79.18°
Also, arc HJ = 180°
We know for given figure,
⇒ arc JK + arc KH +arc HJ = 360°
⇒ arc JK + 79.18° + 180° = 360°
⇒ arc JK + 259.18° = 360°
⇒ arc JK = 100.82°
⇒ mJK ≈ 101°
Therefore, mJK = 101°
The correct answer is option (A) 101°
Learn more about the inscribed angle here:
https://brainly.com/question/15899344
#SPJ2
