Question

In the giren figure, PQIRS, <PAB = 70° CACS = 100° Determine <ABC and <BAC
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Answer 1

Answer:

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➡Since PQ || RS and transversal AB cuts them at A and B respectively.

➡Hence, ∠ABC = ∠PAB ............[Alternate angles]

=> ∠ABC = 70° .............. [Since, ∠PAB = 70°

➡Now, PQ || RS and transversal AB cuts them at A and B respectively.

➡Hence, ∠PAC = ∠ACS .........>>>> [Alternate angles]

=> ∠PAC = 100° ................ [Since, ∠ACS = 100°]

=> ∠PAB + ∠BAC = 100° ............. [Since, ∠PAC = ∠PAB + ∠BAC]

=> 70° + ∠BAC = 100°

=> ∠BAC = 30°

Now, ray AB stands at A on PQ.

Hence, ∠PAC + ∠CAQ = 180°

=> 100° + ∠CAQ = 180°

=> ∠CAQ = 80°

➡Hence,

∠ABC = 70°,

∠BAC = 30°,

∠CAQ = 80°

Step-by-step explanation:

Hope I help you!!

Answer 2

Answer:

Angle ABC=110°

Angle BAC=40°

Step-by-step explanation:

ABC = 110°,

ABC + BAP = 180°(corresponding angles)

ABC + 70° = 180°

ABC= 180°-70°

ABC = 110°

BAC = 40°

BAP+BAC+CAQ =180°

70°+ BAC +70°(SCA and CAQ are corresponding angles)

140°+BAC = 180°

BAC= 180°-140°

BAC = 40°

Hope it helps you❤☺❤☺