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