Question

Can someone help please? What is the value of x? (Answer and explanation please! :) )

Answer 1

Hi there!

$\large\boxed{x = 11}$

From the diagram, we can see that ΔAEF, and ΔACB are similar, isosceles triangles.

Therefore:

∠B and ∠F are congruent because they are corresponding angles, and ∠B and ∠E are congruent because of equal base angles in an isosceles triangle.

Therefore:

7x - 11 = 6x

Subtract 6x from both sides:

x - 11 = 0

Add 11 to both sides:

x = 11.