The value of ∠H is 82°.
Given that ∠LLF = 53°, ∠G = 45°, and ∠H is unknown, we can use the fact that the sum of angles in a triangle is equal to 180° to find the value of ∠H.
We have ∠LLF + ∠G + ∠H = 180°. Substituting the given values, we get 53° + 45° + x = 180°. Simplifying the equation, we have x = 180° - 53° - 45° = 82°.
Therefore, the value of x (∠H) is 82°.
The probable question may be:
In right angle triangle KLM, angle KLM=90 degree, Angle LKM=49 degree, LK=20,MK=x . Solve for x