Answer:
(A) (8 x + 4) degrees
Step-by-step explanation:
[tex]m \angle 5 =(11x-14)^\circ\\x=6\\m \angle 5 =(11(6)-14)^\circ=(66-14)^\circ=52^\circ\\m \angle 5 =m \angle 2$ (Vertically Opposite Angles)[/tex]
Out of the options, the one which gives a result of 52 degrees could represent the measure of angle 2.
[tex](A)(8 x + 4)^\circ=(8(6) + 4)^\circ=(48+4)^\circ=52^\circ\\(B)(9x+2)^\circ=(9(6) + 2)^\circ=(54+2)^\circ=56^\circ\\(C)(20x + 8)^\circ=(20(6) + 8)^\circ=(120+8)^\circ=128^\circ\\(D)(18 x + 20)^\circ=(18(6) + 20)^\circ=(108+20)^\circ=128^\circ[/tex]
We can see that only Option A gives a result of 52 degrees. Therefore, it can represent the measure of angle 2.
