Answer:
Option B is correct, i.e. 72 degrees.
Step-by-step explanation:
Given is a diagram of circle in which tangent-chord angle is formed i.e. angle ∠HEG.
We can find the angle ∠HEG using the Tangent-Chord Angle formula as follows:-
Tangent-chord angle = Half of intercepted arc.
angle ∠HEG = 1/2 arcEG.
(3x + 18) = 1/2 * (9x - 18)
6x + 36 = 9x - 18
9x - 6x = 36 + 18
3x = 54
x = 18.
angle ∠HEG = 3x+18 = 3*18 + 18 = 72 degrees.
Hence, option B is correct, i.e. 72 degrees.
