Question

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

Answer 1

x = 7

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

Answer 2

Answer: x = 7, y = 2

Explanation:

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

∠ABD ≅ ∠CBD

2x + y = 14 + y

2x = 14 subtracted y from both sides

x = 7 divided both sides by 2

Bonus: Let's solve for y

AD = CD

5x - y = x + 13y

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

35 - y = 7 + 13y

28 - y = 13y subtracted 7 from both sides

28 = 14y added y to both sides

2 = y divided both sides by 14