Respuesta :

Answer:

  • x = 36°
  • y = 48°

Step-by-step explanation:

Given:

  • ΔABC ≅ ΔFDE
  • We can tell that y = 48° because ΔABC ≅ ΔFDE.
  • We can also tell that ∠DEF = 108 because ΔABC ≅ ΔFDE.

Let's first try to simplify ∠CAB in ΔABC. Then we can find the 'x' in ΔFDE with the help of ΔABC.

ΔABC = 108 + 48 + ∠CAB = 180°

=> 156 + ∠CAB = 180°

=> ∠CAB = 24°

=> 48 + 108 + 2x - 48 = 180°

=> 108 + 2x = 180°

=> 2x = 72°

=> x = 36°

So, after working on this problem, we can conclude that 'x = 36°' and 'y = 48°'. Hoped this helped.

rspill6

Answer: x=36, y=48

Step-by-step explanation:

The sum of the angles in a triangle is 180.  From triangle ABC we see that:

108 + 48 + Z = 180, where Z is the unknown third angle.

156  + Z = 180

Z= 24 (angle CAB).

Since the triangles are similar, we can say angle EDF(y) is equal to angle CAB (48).  Thus,

y = 48

we can also say that angle CAB is the same as angle DFE:

24 = (2x-y)  

24=2x-48

72=2x

x=36

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