Question

ABllCDllEF andPQllRs LRQD=25 and LCQP=60 find LQRS

Answer 1

Here, Angle RQD = 25°

  so, angle ARQ = 25° .           (Alt. interior angles)

Angle CQP = 60°

Angle QPE = 180° - 60° = 120° .       (Sum of co-interior angles = 180°)

Give, PQ||RS

Therefore, Angle QPE = Angle ARS = 120° .   (Same angles on a parallel line)

Therefore, Angle QRS

= Angle ARQ + Angle ARS

= 25° + 120°

= 145°