The two triangles in the diagram are similar. there are two possible values of x. work out each of these values. state both assumptions you make in your working.

this gave me 4 marks

Step-by-step explanation:

scale factor = 18/10   = 1.8

AC = 15 x 1.8 = 27

So x = 17

15+3=18

18/15= 1.2

scale factor= 1.2

10x1.2= 12

12-10=2

x=2

By changing the order of vertices,

We have four conditions,

When we have or ,

Then by the property of similar angles,

⇒

⇒

⇒

⇒

⇒  x = 2

But,   or is given,

Then by the property of similar triangles,

⇒

⇒

⇒

⇒

⇒  x = 17

Note: is reflexive angle in both triangles this is why, in each condition we took A is corresponding to A.