Solve for x.

Mathematics

1 answer:

konstantin123 [22]3 years ago

5 0

Answer:

The value of x = 9

Step-by-step explanation:

Angle Bisector Theorem

An angle bisector of a triangle would cut the opposite side into two segments that are proportional to the other two sides of the triangle.

Thus,

$\frac{x}{15}=\:\frac{12}{20}$

Cross Multiply the expression

$\:20\times x=12\times 15$

Divide both sides by 20

$\frac{20x }{20}=\frac{180}{20}$

$x=9$

Therefore, the value of x = 9

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