Question

If the measure of angle 5 is (11 x minus 14) degrees and x = 6, which expression could represent the measure of angle 2? 3 lines intersect to form 6 angles. From top left, clockwise, the angles are 1, 2, 3, 4, 5, 6.

Answer 1

Answer:

The measure of angle 2 is 52°.

Step-by-step explanation:

Consider the below figure attached with this question.

It is given that

$m\angle 5=(11x-14)^{\circ}$

and x=6.

From the below figure it is clear that Lines 1,2 and 3 intersect each other at a point and form 6 angles.

It is clear that angle 2 and angle 5 are vertical opposite angles because these angles created by intersection of line 2 and line 3.

If two lines intersect each other then vertical opposite angles are congruent.

$m\angle 2=m\angle 5$                   (vertical opposite angles)

$m\angle 2=(11x-14)^{\circ}$

Substitute x=6.

$m\angle 2=(11(6)-14)^{\circ}$

$m\angle 2=(66-14)^{\circ}$

$m\angle 2=52^{\circ}$

Therefore, the measure of angle 2 is 52°.

Answer 2

Answer:

A) (8x+4)

Step-by-step explanation:

11(6)-14 = 52

So angle 5 = 52 degrees

Angle 5 and angle 2 are the same so you have to multiply the others equations by 6 until the answer is 52 degrees.

A- 8(6)+4 = 52 <<<<

B- 9(6)+2 = 56

C- 20(6)+8 = 128

D- 18(6)+20 = 128