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Question

In the given figure, LM = LN; angle PLN =110. Calculate :MLN
176542_259b01f710634e93aae1cb3aeb80b588.png

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 C 40o
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

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