Question

From the

information given in the figure, seg AB + seg BD what is length ​

Answer 1

Answer:

In triangle OAB and OCD,

∠AOB=∠COD (Vertically opposite angles)

∠BAO=∠OCD (Alternate angles of parallel lines)

∠ABO=∠ODC (Alternate angles of parallel lines)

Thus, △OAB∼△OCD (AAA rule)

Hence, OBOD=OAOC (Ratio of corresponding sides of similar triangles is equal)

x−33=3x−19x−5

9x−57=(x−3)(x−5)

9x−57=x2−8x+72

x2−17x+72=0

x2−11x−6x+72=0

(x−8)(x−9)=0

x=8,9

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