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Question

The adjacent angles of a parallelogram are as 2 : 3. Find the measures of all the angles

A
108o
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B
60o
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C
116o
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D
90o
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Solution

The correct option is C 108o
Let ABCD be a parallelogram. Let A and B be its two adjacent angles such that A:B=2:3
Let A=2xo and B=3xo
Since adjacent interior angles are supplementary.
A+B=180o
2xo+3xo=180o
5xo=180oxo=1805=36o
A=2xo=72o,B=3xo=108o
Since opposite angles of parallelogram are equal.
C=A=72o and D=B=108o

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