Please help im desperate.

9514 1404 393

  x = -12

  y = 13

  FE = 14

  m∠E = 36°

  AB ≅ DF, BC ≅ FE, AC ≅ DE

  ∠D ≅ ∠A, ∠E ≅ ∠C, ∠F ≅ ∠B

Step-by-step explanation:

The expression involving y is that of an angle measure. In order to find y, we need to know the angle. So, it makes sense to start by identifying corresponding angles and their measures.

The congruence statement ΔABC ≅ ΔDFE means that ...

  ∠A ≅ ∠D . . . 45°

  ∠B ≅ ∠F . . . 99°

  ∠C ≅ ∠E . . . 180° -99° -45° = 36°

It also means ...

  AB ≅ DF . . . 10

  BC ≅ FE . . . 14

  AC ≅ DE . . . unmarked (and unknown*)

__

Using the measure of angle F we can solve for y:

  (8y -5)° = 99°

  8y = 104 . . . . . . divide by ° and add 5

  y = 13 . . . . . . . . divide by 8

Using the length of side FE, we can solve for x:

  2y +x = 14

  2·13 +x = 14 . . . . substitute for y

  x = 14 -26 . . . . . .subtract 26

  x = -12

* The length of the unmarked side is unknown because its measure will depend on how you compute it. The given angles and side lengths are inconsistent, so the figure shown cannot exist. If angle measures are taken as accurate, the side measures are not, and vice versa.

Step-by-step explanation:

To find x,equate EF to BC

2y+x=14( from here,it's impossible to calculate the values yet)

Find the value of ‹ACB

180°-(99+45)=36°

Now equate ‹DFE to 36° to find y

8y-5=36

8y=36+5

8y=41

y=5.125

Plug in the value of y to find x

2y+x=14

x=14-2y

x=14-2(5.125)

x=3.75