Question

please answer quick with explanation i will mark you brainliest 1 condition ans should be correct ​

Answer 1

42-As per the diagram l∣∣m and n is transversal,

∠1=75°

We know sum of angles on a straight line is 180°

∠2+75=180°

∠4+75=180°

=> ∠2=105°

=> ∠4=105°

We know that Vertically opposite angles are equal

∠1=∠3=75°

∠5=∠7

∠6=∠8

We know that alternate interior angle are equal

∠3=∠5=75°

[ From ∠3=75° ]

∠4=∠6=105°

[ From ∠4=105° ]

Thus

∠5=∠7=75°

[ From ∠5=75°]

∠6=∠8=140°

[ From ∠6=105° ]

∴ ∠1=∠3=∠5=∠7=75°

and ∠2=∠4=∠6=∠8=105°