Question

In the following figure, PQ||RS and a transversal AB cuts them at O and L. if OM and LN are the angle bisector of ROL and OLQ respectively prove that OM || LN.​

Answer 1

Step-by-step explanation:

Given: OM=ON=> PQ = 6cmTo Find: RS= PQ = 6cm= RS ... bisector of ROL and OLQ respectively prove that OM || LN. .

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Answer 2

Answer:

As per diagram AB∣∣CD and PQ is transversal

∠DMQ=100

o

[ Given]

∠DMQ=∠CML=100

o

[ Vertically opposite angles]

∠CML=∠ALP=100

o

[ Corresponding angles]

∠ALP=∠MLB=100

o

[ Vertically opposite angles]

∠CMQ=180−100=80

o

[sum of angle on a straight line is 180^o$$]

∠CMQ=∠LMD=80

o

[ Vertically opposite angles]

∠LMD=∠PLB=80

o

[ Corresponding angles]

∠PLB=∠ALM=80

o

[ Vertically opposite angles]

∴ ∠DMQ=∠CML=∠ALP=∠MLB=100

o

and ∠CMQ=∠LMD=∠ALM=∠PLB=80

o

Step-by-step explanation:

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