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If the measure of angle 5 is (11x-14) and x=6, which expression could represent the measure of angle 2?

Answer choices:

(8x+4)
(9x+2)
(20x+8)
(18x+20)

If the measure of angle 5 is 11x14 and x6 which expression could represent the measure of angle 2 Answer choices 8x4 9x2 20x8 18x20 class=

Respuesta :

calculista

Answer:

(8x+4)

Step-by-step explanation:

we know that

m∠5=m∠2 -----> by vertical angles

we have

m∠5=(11x-14)

substitute the value of x

x=6

m∠5=11(6)-14=52°

therefore

m∠2=52°

Verify the choices

1) (8x+4)=8(6)+4=52° -----> The expression could represent the measure of angle 2

2) (9x+2)=9(6)+4=58° -----> The expression not represent the measure of angle 2

3) (20x+8)=20(6)+8=128° -----> The expression not represent the measure of angle 2

2) (18x+20)=18(6)+20=128° -----> The expression not represent the measure of angle 2

carlosego

For this case we have that angle 5 is opposite by the vertex to angle 2, therefore they are equal.

We have that angle 5 measures [tex]11x-14[/tex]. We have [tex]x = 6,[/tex] so angle 5 measures [tex]11 (6) -14 = 66-14 = 52[/tex]

Therefore, angle 2 should measure 52.

We test the options, taking into account that[tex]x = 6.[/tex]

Option A:

[tex]8x + 4\\8 (6) + 4 = 48 + 4 = 52[/tex]

Thus, the correct option is A.

Answer:

Option A

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