An angle is a figure created by two rays. The value of x is 10 units.
What is an angle?
An angle is a figure created by two rays, known as the sides of the angle, that have a common terminus, known as the vertex of the angle.
The line VT bisects ∠STU, therefore, the two triangles will be similar because VT is the common line between the two triangles while ∠STV and ∠UTV are equal angles. Therefore, we can write,
[tex]\dfrac{UT}{UV} = \dfrac{ST}{SV}\\\\\dfrac{3x+2}{24} = \dfrac{12}{9}\\\\3x+2 = \dfrac{12 \times 24}{9}\\\\\\3x+2=32\\\\x=10[/tex]
Hence, the value of x is 10 units.
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