Q.3 the given figure, p \(\parallel \)q. Find the unknown angles.

\(\angle \)e + 125° = 180° (Linear pair)
\(\therefore \) \(\angle \)e = 180° – 125° = 55°
\(\angle \)e = \(\angle \)f (Vertically opposite angles)
\(\therefore \) \(\angle \)f= 55°
\(\angle \)a = \(\angle \)f= 55° (Alternate interior angles)
\(\angle \)c = \(\angle \)a = 55° (Vertically opposite angles)
\(\angle \)d = 125° (Corresponding angles)
\(\angle \)b = \(\angle \)d = 125° (Vertically opposite angles)
Thus, \(\angle \)a = 55°, \(\angle \)b = 125°, \(\angle \)c = 55°, \(\angle \)d = 125°, \(\angle \)e = 55°, \(\angle \)f= 55°.