samantharobinso1
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HELPPP!!!
Given that lines a and b are parallel, what angles formed on line b when cut by the transversal are congruent with ∠2?
A) ∠5 and ∠6
B) ∠5 and ∠7
C) ∠6 and ∠7
D) ∠6 and ∠8

HELPPP Given that lines a and b are parallel what angles formed on line b when cut by the transversal are congruent with 2 A 5 and 6 B 5 and 7 C 6 and 7 D 6 and class=

Respuesta :

The answer is C) 6 and 7
6 is congruent to 2 because they are corresponding angles.
7 is congruent to 2 because it is a vertical angle to angle 6 and it is an alternate exterior angle with angle 2.

Hope this helps =)
JeanaShupp

Answer: C) [tex]\angle{6}\text{ and }\angle{7}[/tex]

Step-by-step explanation:

We know that when a transversal line passes through two parallel lines, then the corresponding angles and alternate ( both interior and exterior ) angles are congruent.

From the given figure, lines a and b are parallel.

[tex]\angle{2}=\angle{3}[/tex]  [∵ Vertical angles are congruent]

Also, [tex]\angle{2}=\angle{6}[/tex]  [∵ if a transversal passes through parallel lines then corresponding angles are congruent]

Also, [tex]\angle{2}=\angle{7}[/tex] [∵ if a transversal passes through parallel lines then alternate exterior angles are congruent]

Hence, the angles formed on line b when cut by the transversal are congruent with ∠2 are :-

[tex]\angle{6}\text{ and }\angle{7}[/tex]

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