Question

What is the length of AB?

Answer 1

6

Explanation:

3x=4x-2

-1x=-2

X=2

3x = 6

Answer 2

Answer: The correct option is (C) 6.

Step-by-step explanation: We are given a triangle ABC in the figure, in which

`m\angle A=m\angle C=63^\circ,~~~AB=3x~\textup{units}~~\textup{and}~~BC=(4x-2)~\textup{units}.`

We are given to find the length of side AB.

In ΔABC, we have

`m\angle A=m\angle C.`

We know that in a triangle,

if two angles have equal measures, then the sides opposite to them are equal in length.

So, we must have

`BC=AB\\\\\Rightarrow 4x-2=3x\\\\\Rightarrow 4x-3x=2\\\\\Rightarrow x=2.`

Therefore, the length of AB will be

`AB=3x=3* 2=6.`

Thus, the length of side AB is 6 units.

Option (C) is CORRECT.