Exercice 6 Associer, si possible, chaque expression de gauche
à l'expression de droite qui lui est égale:
3x + 2 + (-x + 9) .-5x + 2
(x + 5)(8 - x) + (3x + 2)(5x - 1) • 9x2 + 10x + 38
-(x + 1) + 4(2x + 7) 2x + 11
2(3x + 7) - 10(x - 2) • 7x + 27
-x + 8 - (4x + 6) .-4x + 34
(2x-8)(x +9) - (-3x + 7)(6x + 1). • 2x2 + 35x - 79

∠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.

45

step-by-step explanation: