Answer:
m∠6 = 148°
Explanation:
From the figure attached,
AB and CD are two parallel line and another transverse line is intersecting these line at two distinct points.
Since, m∠1 = 32°,
∠1 and ∠4 are supplementary angles [Linear pair of angles]
m∠1 + m∠4 = 180°
32° + m∠4 = 180°
m∠4 = 180° - 32°
m∠4 = 148°
Since, ∠4 ≅ ∠6 [Alternate interior angles]
m∠4 = m∠6 = 148°
Therefore, m∠6 = 148°