Math, asked by kethepallisrija13, 9 months ago

2 In the figure, if AB || CD || EF, PQ || RS,

∠RQD = 25° and ∠CQP = 60°, then find ∠QRS.

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Answered by deve11
12

Step-by-step explanation:

Extended line PQ to intersect AB parallel to RS and mark the intersecting point as O and end point of the line as M.

QRO=RQD=25°( Alternative angles)

By construction,

AOQ=CQP=60° (Corresponding angled)

MOA+AOQ=180° (linear pair)

MOA=180°-60°=120°.

Again, MOA=ORS=120°.( corresponding angles)

QRS=QRO+ORS=120°+25°=145°.

Answered by Anonymous
6

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