BD is the angle bisector of ZABC \sx-y B 2x+y D 14+y /x+13 x=[?]

asked Jun 23, 2022 94.2k views

0 votes

BD is the angle bisector of ZABC

\sx-y
B
2x+y
D
14+y
/x+13
x=[?]

$BD is the angle bisector of ZABC \sx-y B 2x+y D 14+y /x+13 x=[?]-example-1$

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12 votes

Answer:

x = 7

Explanation:

BD is an angle bisector of ∠ABC,

Therefore, by angle bisector theorem,

∠ABD ≅ ∠CBD

m∠ABD = m∠CBD

(2x + y) = (14 + y)

2x = 14

x = 7

Fadecomic answered Jun 30, 2022

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