Question

In figure, if AB || CD || EE, PQ || RS, ∠RQD = 25° and ∠CQP = 60°, then ∠QRS is equal to__?


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Answer 1

Answer:

hii

your answer is here !

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°