In the given figure, LM = LN; angle PLN =110∘. Calculate :∠MLN
A
32o
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B
42o
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C
40o
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D
50o
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Solution
The correct option is C40o Given, ∠P=∠Q=90∘ and ∠PLN=110∘ In quadrilateral PLNQ, ∠P+∠Q+∠PLN+∠LNQ=360∘ 90∘+90∘+110∘+∠LNQ=360∘ ∠LNQ=70∘ In △LMN, given LM = LN thus, ∠LNQ=∠LMN=70∘ As, ∠LNQ+∠LMN+∠MLN=180∘ 70∘+70∘+∠MLN=180∘ ∠MLN=40∘