NEED HELP 20 POINTS - try using most words from the “word bank” to explain each question and show work

We're no strangers to love

You know the rules and so do I

A full commitment's what I'm thinking of

You wouldn't get this from any other guy

I just wanna tell you how I'm feeling

Gotta make you understand

Never gonna give you up, never gonna let you down

Never gonna run around and desert you

Never gonna make you cry, never gonna say goodbye

Never gonna tell a lie and hurt you

We've known each other for so long

Your heart's been aching but you're too shy to say it

Inside we both know what's been going on

We know the game and we're gonna play it

And if you ask me how I'm feeling

Don't tell me you're too blind to see

Never gonna give you up, never gonna let you down

Never gonna run around and desert you

Never gonna make you cry, never gonna say goodbye

Never gonna tell a lie and hurt you

Never gonna give you up, never gonna let you down

Never gonna run around and desert you

Never gonna make you cry, never gonna say goodbye

Never gonna tell a lie and hurt you

(Ooh, give you up)

(Ooh, give you up)

(Ooh) never gonna give, never gonna give (give you up)

(Ooh) never gonna give, never gonna give (give you up)

We've known each other for so long

Your heart's been aching but you're too shy to say it

Inside we both know what's been going on

We know the game and we're gonna play it

I just wanna tell you how I'm feeling

Gotta make you understand

Never gonna give you up, never gonna let you down

Never gonna run around and desert you

Never gonna make you cry, never gonna say goodbye

Never gonna tell a lie and hurt you

Never gonna give you up, never gonna let you down

Never gonna run around and desert you

Never gonna make you cry, never gonna say goodbye

Never gonna tell a lie and hurt you

Never gonna give you up, never gonna let you down

Never gonna run around and desert you

Never gonna make you cry, never gonna say goodbye

Never gonna tell a lie and hurt you

Step-by-step explanation:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.