The possible value of x is 7
Similar triangles have congruent angles, and their corresponding sides are in proportion.
Ratios of corresponding sides are equal, maintaining the same shape but possibly different sizes. This geometric similarity is a fundamental concept in trigonometry and geometry.
Since line AB = BC ( given)
BD = BD ( reflexive property of congruence)
then,
triangle ABC is similar to triangle ABD
63 = 8x + 7
8x = 63 - 7
8x = 56
x = 7
Therefore, the possible value of x is 8.25.