Answer:
x = 18° and y = 3 units
Step-by-step explanation:
The triangle Δ JHL is a right triangle with HL as the altitude.
Then ∠ HLJ = 90°.
Hence, ∠ HLI = 90° {Since JLI is a straight line}
So, Δ HLI is also a right triangle and LH is the altitude.
So, ∠ HLI = 5x = 90°
⇒ x = 18° (Answer)
Now, from Δ HLI,
HI² = HL² + LI² {Applying Pythagoras Theorem}
⇒ LI² = HI² - HL² = 5² - 4²
⇒ y² = 9
⇒ y = 3 units (Answer)
