Pleaseee help me solve this

hello! here is your answer

1) ∠2 ≅ ∠7

⇒ they are corresponding angles

2) ∠5 ≅ ∠9

⇒ they are alternate interior angles

3) ∠4 ≅ ∠7

⇒ they are vertically opposite angles

4) if ∠3 ≅ ∠8, then p║q

⇒ they are corresponding angles

5) ∠3 ≅ ∠9

⇒ they are vertically opposite angles

6) m∠2 + m∠3 = 180

⇒ they are co-interior angles

7) ∠4 is vertical to ∠7

8) ∠2 and∠3 are same side interior angles

9) ∠5 corresponds to ∠8

10) one alternate exterior pair is ∠1 and ∠8

hope it helps you!!

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is