In a ΔLMN, ∠L = 118° and LM = LN. Find ∠N.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 31°.
∠L = 118° and LM = LN
When two sides are equal, the angles opposite to the equal sides will also have the same measure.
∠M = ∠N = x
⇒ ∠L + ∠M + ∠N = 180
⇒ 118 + 2x = 180
⇒ 2x = 180 - 118
⇒ 2x = 62
⇒ x = 31°
Therefore, the value of ∠N = 31°