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

Answer 1

A: (8 x + 4) degrees

Explanation:

Got it right on ED

Answer 2

(A) (8 x + 4) degrees

Explanation:

`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)`

Out of the options, the one which gives a result of 52 degrees could represent the measure of angle 2.

`(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`

We can see that only Option A gives a result of 52 degrees. Therefore, it can represent the measure of angle 2.