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)

(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

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 . We have so angle 5 measures

Therefore, angle 2 should measure 52.

We test the options, taking into account that

Option A:

Thus, the correct option is A.

Option A

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180

30

step-by-step explanation:

times by times