Question

∆ LMN is a right triangled at N and LN = MN. Find the measures of ∠L and ∠M​

Answer 1

Answer:

angle L=45, M=45

Step-by-step explanation:

since LMN is a right angle triangle, angle N=90°

and now since LM=MN, therefore angle L=angle M

because the angle opposite to equal sides of a triangle are equal

since angle N+L+M=180(sum of angles of a triangle=180)

so 90+L+M=180

since L=M

so 90+2L=180

2L=180-90=90

2L=90

L=90/2=45°

therefore L=45° and M=45°

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