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Question
Two triangles DEF an GHK are such that ∠D = 48° and ∠H = 57° . If ΔDEF ∼GHK then find the measures of ∠F
Solution
If two triangles are similar then the corresponding angles of the two triangles are equal. Here, ΔDEF ~ ΔGHK
∴ ∠E=∠H=57°
Now, In Δ DEF
∠D+∠E+∠F180° (𝐴𝑛𝑔𝑙𝑒 𝑠𝑢𝑚 𝑝𝑟𝑜𝑝𝑒𝑟𝑡𝑦 𝑜𝑓 𝑡𝑟𝑖𝑎𝑛𝑔𝑙𝑒)
⇒ ∠F=180° -48° -57° =75°
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