Question

please answer the questions ​

Answer 1

Answer:

1 100 degree

2 45 degree

3 90 degree

4 100 degree

Answer 2

Answer :

Given that, the lines are parallel and n is transversal,

i) If ∠1 = 80° , then what is ∠2 ?

Answer :

∠1 + ∠2 = 180° ....... straight angles measures 180°

⟹ 80° + ∠2 = 180°

⟹ ∠2 = 180° - 80°

⟹ ∠2 = 100°

Therefore, ∠2 is 100°

ii ) If ∠3 = 45° , then what is ∠7 ?

Answer :

⟹ ∠3 = ∠7 ......... Alternate-interior angles

Therefore, ∠7 is 45°

iii ) If ∠2 = 90° , find the measure of ∠8 ?

Answer :

⟹ ∠2 = ∠8 .............. Opposite angles

Therefore, ∠8 is 90°

iv ) If ∠4 = 100° , what is ∠8 ?

Answer :

⟹ ∠4 = ∠8 ............. Alternate-exterior angles

Therefore, ∠8 is 100°