Answer: X = 62°, Y = 68°, Z = 50°
Explanation:
From the given picture, the angles of Δ LPN are ∠L= 62° and ∠ N = 50°
By angle sum property of triangle ,
∠P=180°-(62°+50°)
⇒∠P=180°-112°
⇒∠P=68°
Hence, ∠P=68°
Since, ΔXYZ ∼ ΔLPN [given]
Also, the corresponding angles of similar triangle are equal.
Therefore, ∠L=∠X 62° , ∠P=∠Y=68° and ∠ N =∠Z= 50°