Question

PLS ANSWER DUE

Answer 1

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.