Answer:
Part 1) The perimeter of triangle ABC is 24 units
Part 2)

Explanation:
Part 1)
we know that
The Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side
The perimeter of triangle ABC is equal to

Applying the Midpoint Theorem
Find the measure of AB

substitute given value

Find the measure of BC


substitute given value


Find the measure of AC


substitute given value


Find the perimeter of triangle ABC

Part 2)
step 1
Find the measure of angle z
Remember that the sum of the interior angles in a triangle must be equal to 180 degrees

step 2
Find the measure of angle y
we know that
----> by supplementary angles (form a linear pair)
substitute the value of z

