Question

In figure, if AB || CD || EF, PQ || RS, RQD = 25°
and CQP = 60°, then QRS is equal to
(1) 85
(2) 135
(3) 145°
(4) 110​

Answer 1

Answer:

145°

Step-by-step explanation:

Given, PQ || RS

∠PQC = ∠BRS = 60° [alternate exterior angles and ∠PQC = 60° (given)] and ∠DQR = ∠QRA = 25° [alternate interior angles]

[∠DQR = 25°, given]

∠QRS = ∠QRA + ∠ARS

= ∠QRA + (180° – ∠BRS) [linear pair axiom]

= 25° + 180° – 60°= 205° – 60°= 145°

hope it will help you...