Question

What is the length of ab?

Answer 1

since the angles are equal the sides are equal so u see them equal to each other to find x then u multiple and get D

Answer 2

Answer: The correct option is (D) 18.

Step-by-step explanation: We are given to find the length of side AB from the figure shown.

From the figure, we see that

ABC is a triangle, in which m∠A = m∠C = 65°, AB = 6x and BC = 3x+9.

Now, since the measures of angles A and C are equal, so the triangle ABC is an isosceles one with sides opposite to the equal angles equal.

That is,

`BC=AB\\\\\Rightarrow 3x+9=6x\\\\\Rightarrow 6x-3x=9\\\\\Rightarrow 3x=9\\\\\Rightarrow x=(9)/(3)\\\\\Rightarrow x=3.`

Therefore, we get

`AB=6x=6* 3=18.`

Thus, option (D) is CORRECT.