Problema Solution

In ΔLMN, (segment)LN is extended through point N to point O, m∠MNO = (4x−11)∘, m∠NLM = (x−4)∘, and m∠LMN = (x+13)∘ . What is the value of x?

Answer provided by our tutors

We knot that the exterior angle of a triangle is equal to the sum of the opposite interior angles thus we have:

(x - 4) + (x + 13) = 4x - 11

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click here to see the equation solved for x

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x = 10