In the diagram, transversal t intersects parallel lines m and n. classify the given angle pair. then determine each measures.

Step-by-step explanation:

Corresponding angles: ∠2=∠ 6  ;  ∠1 = ∠5 ;    ∠4 = ∠8;  ∠3 =∠7

Vertically opposite angles: ∠1 = ∠3;  ∠2 = 4;  ∠5 = ∠7 ;  ∠6 = ∠8

Interior angles : ∠4, ∠3 , ∠6, ∠7

alternate interior angles are equal: ∠3 = ∠5 ;  ∠4 = ∠6

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

answer: $201

step-by-step explanation: to get the answer, you first get 3 nieces that he sold and multiply it by 67 and get $201, so he earned $201 selling his nieces.