Use the figure below to answer the questions a. name two pairs of alternate interior angles.b. name four pairs of corresponding angles..

Two pairs of alternate interior angles are→1) ∠3 , ∠5 and ∠4 , ∠6

                                                               and 2) ∠7 , ∠9 and ∠8 , ∠10

Four pairs of corresponding angles are → 1) ∠1 , ∠5 and ∠2 , ∠6

                                                                     2) ∠4 , ∠8 and ∠3 , ∠7

                                                                     3) ∠5 , ∠9 and ∠6 , ∠10

                                                            and  4) ∠8 , ∠12 and ∠7 , ∠11

Step-by-step explanation:

When two parallel line cuts by a another line (transversal).Then,

Alternate interior angles → it is the pair of a angles on the inner side of each of those two lines but on opposite sides of the transversal.

hence in the given figure

1)∠3 , ∠5 and ∠4, ∠6  and 2)∠7 , ∠9 and ∠8 , ∠10 are two pairs of alternate interior angles.

Now,

Corresponding angles → the angles are the ones at the same location at each intersection.

Hence in the given figure

1) ∠1 , ∠5 and ∠2 , ∠6  2) ∠4 , ∠8 and ∠3 , ∠7  3) ∠5 , ∠9 and ∠6 , ∠10 and  4) ∠8 , ∠12 and ∠7 , ∠11 are four pairs of corresponding angles.

The equation is 2y = x-3

Step-by-step explanation:

Equation of WX is;

2x + y = -5

Can be written as;

y = -5 -2x

compare it with standard form

y = mx + c

where m is slope and c is intercept.

Slope of the line is thus -2

The second line is perpendicular to WX

this means that the product of their slopes is -1

Mathematically;

-2 * slope of second line = -1

Slope of second line is -1/-2 = 1/2

Now we use the point slope form to get the equation of that second line

Mathematically;

y-y1 = m(x-x1)

y-(-2) = 1/2(x-(-1))

y + 2 = 1/2(x + 1)

2(y + 2) = x + 1

2y + 4 = x + 1

2y = x + 1-4

2y = x-3