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lidiya [134]
3 years ago
5

Please help........................

Mathematics
2 answers:
Rama09 [41]3 years ago
8 0

Answer:

x = 7

Step-by-step explanation:

Since BD is the angle bisector of ∠ABC, then

∠ABD = ∠CBD, that is

2x + y = 14 + y ( subtract y from both sides )

2x = 14 ( divide both sides by 2 )

x = 7

N76 [4]3 years ago
3 0

Answer: x = 7, y = 2

<u>Step-by-step explanation:</u>

Since BD is an angle bisector, it cuts the angle into two congruent (equal) angles.

∠ABD ≅ ∠CBD

2x + y = 14 + y

2x       = 14               <em>subtracted y from both sides</em>

 x       =   7               <em>divided both sides by 2</em>

Bonus: Let's solve for y

 AD   =   CD

5x - y = x + 13y

5(7) - y = (7) + 13y

35  -  y = 7 + 13y

28  -  y =       13y       <em>subtracted 7 from both sides</em>

28        =       14y       <em>added y to both sides</em>

2         =          y        <em>divided both sides by 14</em>

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