Question

IN triangle LMN and triangle PQR , if angle L = 50 , angle M = 70 , angle P = 60 and angle Q = 70 , then which triangle is similar to triangle LMN

Answer 1

Answer:

$70 degree$

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Answer 2

Given:

In ΔLMN and PQRΔ

angle L = 50°

angle M = 70°  

angle P = 60°

angle Q = 70°

In In ΔLMN

∠L + ∠M + ∠N = 180°

50° + 70° + ∠N = 180°

∠N = 180° - 120°

∠N = 60°

△LMN∼△PQR

∠N = 60°

∠R= 60°

• so ∠M=∠Q=70°

• ∠N=∠R= 60°

so in ΔLMN and ΔPQR ,∠M=∠Q and ∠N=∠R are similar

Hence in ΔLMN and ΔPQR ,∠M=∠Q and ∠N=∠R are similar