In each of the given pairs of triangles, find which pair of triangles are similar. State the similarity criterion and write the similarity relation in symbolic form.
In ∆ABC, we can find ∠ABC.
∠ABC + ∠BCA + ∠CAB = 180° [∵ sum of all the angles of a triangle is 180°]
⇒ ∠ABC + 70° + 80° = 180°
⇒ ∠ABC + 150° = 180°
⇒ ∠ABC = 180° - 150°
⇒ ∠ABC = 30°
We can observe from triangles ABC & MNR,
∠ABC = ∠MNR
∠CAB = ∠RMN
Hence, by AA similarity we can say, ∆ABC ∼ ∆MNR
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