Use the diagram to find the value of a. the parallel lines are marked.

62, because of corresponding angles theorem.

The correct option is C. 62°

Step-by-step explanation:

Parallel lines are marked in the diagram.

Corresponding angles are the angles which are formed on the same side of the parallel lines provided a transversal is passing through them

Also, A transversal is passing through the two parallel lines forming the corresponding angles

Since, The corresponding angles are always equal.

Now, from the question we can clearly see that 62° and the angle a lies on the same side of the parallel lines

So, The measure of both will be equal

⇒ m∠a = 62°

Therefore, The correct option is C. 62°

a ruler? idk

step-by-step explanation:

-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