The statement "ZGLJ is bisected by H" is true if m ∠KLH is indeed 180°, as an angle bisector divides an angle into two equal angles. The correct answer is option A.
1. m ∠KLH = 120°: This angle is formed by rays KL and LH. Since the sum of angles around point L is 360°, m ∠KLM (180°) + m ∠KLH (120°) = 300°. Therefore, m ∠KLM is not 180° as stated in the question. There seems to be an error in the provided information.
Assuming the corrected information:
m ∠KLM = 180°: The sum of angles around point L is 360°, so m ∠KLH would be 180°.
2. ZGLJ is bisected by H:** If m ∠KLH is indeed 180°, it bisects the angle formed by rays Z and GLJ at point L. This is because an angle bisector divides an angle into two equal angles.
Therefore, given the corrected information, the statement "ZGLJ is bisected by H" is true.
Therefore, option A is correct.