Please help me on this question

My vote is for choice 3) ∠2, ∠3, ∠6 and ∠7

Step-by-step explanation:

Each of 2,3,6, & 7, when added to angle 5, add up to 180°

Do supplementary angles have to be adjacent to be supplementary?

No.

Explanation:

The answer is no, as for example:

angles on the same side of a non-parallel sides of a trapezoid and

opposite angles of a cyclic quadrilateral can be supplementary.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.