Question

can anyone provide proper explaination of the question with answer​

Answer 1

Answer:

Step-by-step explanation:

Actually, in this question, you need to use something called the 'Alternate Segment Theorem'.

This theorem states that the angle formed by a chord and a tangent is equal to the angle subtended by the chord in the alternate segment (major to minor/ minor to major).

In the figure, this theorem applies to ∠PKL and ∠KNL.

⇒∠PKL = ∠KNL                        .........(i)

Since LN is the diameter,

∠LKN=90°   (Angle in a semicircle)

In ΔLKN , by Angle Sum Property,

∠L + ∠K + ∠N = 180°

∠N + 30° + 90° =180°

∠KNL =180° - 120°

∠PKL=60°                          [from (i)]