Question

Find all angles if l ||m ; PQ is transversal line​

Answer 1

Answer:

1. ∠3=75° [vertically opposite angle]

∠2=180°-∠3 [linear pair]

∠2=180°-75°

∠2=105°

∠4=∠2 [vertically opposite angle]

∠4=105°

∠8=∠4 [corresponding angle]

∠8= 105°

∠6=∠8 [vertically opposite angle]

∠6= 105°

∠7=180°-∠6 [linear pair)]

∠7=75°

∠5=∠7 [vertically opposite angle]

∠5=75°

2. ∠6=100° [vertically opposite angle]

∠1=∠6 [corresponding angle]

∠1= 100°

∠3=∠1 [vertically opposite angle]

∠3= 100°

∠2=180°-∠1 [linear pair]

∠2=180°-100°

∠2=80°

∠4=∠2 [vertically opposite angle]

∠4=80°

∠7=∠4 [corresponding angle]

∠7=80°

∠5=∠7 [vertically opposite angle]

∠5=80°

Step-by-step explanation:

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