Answer:
Option C
Step-by-step explanation:
We will analyze the figure and note down the properties given in the figure,
1). LK is a diameter so this line (chord) divides the circle into two arcs measuring 180°.
m(arc LJK) = m(arc LK) = 180°
2). m(∠JKL) = 28°
Therefore, by the property inscribed angle and intercepted arcs,
Intercepted arc (JL) = 2 × (Inscribed angle JKL)
m(arc JL) = 2(26°)
= 52°
Now we will use these two points to get the measure of arc JK.
m(arc JK) + m(arc LK) + m(arc JL) = 360°
m(arc JK) + 180° + 52° = 360°
m(arc JK) = 360° - 232°
= 128°
Option C will be the correct option.
