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Question

In the figure given below PQRS is a square and ΔQTR is an equilateral triangle. Find QMR
1211421_c4bd817b2fb34aec9c9f206543c76290.png

A
45o
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B
30o
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C
75o
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D
60o
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E
None of these
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Solution

The correct option is C 75o
PQRS is a square

QTR is equilateral triangle.

RTQ=TQR=QRT=60 (QTR is equilateral triangle)

QSR=45 (QS is diagonal of square PQRS)

In QRS

SQR=180(90+45)=45

InQMR:QRM=60,MQR=45QMR=180(60+45)=75

1145870_1211421_ans_75f7bef035024ced976dcf786cd6665d.png

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