Which one of them is it?

Step-by-step explanation:

Supplementary angles are angles that add to 180 degrees.

Let's examine the answer choices.

A. ∠8 and ∠7

⇒ These angles are on a straight line together, so they are supplementary.

B. ∠5 and ∠1

⇒ These angles have no relation to each other. They are on different lines that are not parallel.

C. ∠7 and ∠4

⇒These angles also have no relation to each other.

D. ∠2 and ∠4

⇒ These angles are vertical, but not supplementary.

The correct answer is A. ∠8 and ∠7

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is