Question

Two triangles DEF an GHK are such that ∠D = 48° and ∠H = 57° . If △DEF ~ △GHK then find the measures of ∠F

Answer 1

If two triangles are similar then the corresponding angles of the two triangles are equal. 

Here, ∆DEF ~ ∆GHK 

∴ ∠E = ∠H = 57° 

Now, In ∆ DEF 

∠D + ∠E + ∠F = 180° (Angle sum property of triangle) 

⇒ ∠F = 180° − 48° − 57° = 75°