5.
In the diagram, ABC is a triangle.
N is the point on AB such that ABC = AĈN.

(a)
Show that triangles ABC and ACN are similar.

The given 2 triangles are similar

Explanation:

Step 1 :

Given,

ABC is a triangle

N is the point on AB so that  ∠ABC = ∠ ACN

We need to show that the triangles ABC and ACN are similar

Step 2 :

Two triangles  are said to be similar if the corresponding angles are equal.

In the given triangles we have

∠A as the common angle

∠ABC = ∠ ACN

Since 2 angles of both the triangles are same, the third angle is also same, because the sum of the measures of all angles is 180 degrees

Hence the given 2 triangles are similar

the correct answer would be d. hope this !