Question

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Answer 1

Answer:

x = 17   degrees        y = 3  units

Step-by-step explanation:

Since angle   F  and  E are equal,   sides  DE  and  DF   are equal and you now have an equilateral triangle

  each angle is   60 degrees    so   4x - 8 = 60    shows   x = 17

   since the sides are equal :   8y-3 = 6y+3   shows y = 3  

Answer 2

Answer:

x = 17 , y = 4

Step-by-step explanation:

since EF and DF are congruent , then

8y - 5 = 6y + 3 ( subtract 6y from both sides )

2y - 5 = 3 ( add 5 to both sides )

2y = 8 ( divide both sides by 2 )

y = 4

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the triangle has 3 congruent angles , then

3(4x - 8) = 180 ( divide both sides by 3 )

4x - 8 = 60 ( add 8 to both sides )

4x = 68 ( divide both sides by 4 )

x = 17