1.

ABllCDllEF andPQllRs LRQD=25 and LCQP=60 find LQRS

Answer»

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°

                             



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