in the given figure <POC and <QOC form a linear pair <POC=<QOE=135° and <COD=<EOD.Find the measures of <POE,<EOC, and <DOC.
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in the given figure <POC and <QOC form a linear pair <POC=<QOE=135° and <COD=<EOD.Find the measures of <POE,<EOC, and <DOC.
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Answer:
<POC=135°[given]
<POC +<QOC=180°[linear pair]
135°+<QOC=180°
<QOC=180°-135°
=45°
now <QOE=135°(given)
<QOE=<EOC++<QOC
<EOC=<QOE-<QOC
=135°-45°
=90°
<EOD=<DOC
<EOD+<DOC=90°
2(<DOC) =90°
<DOC=90°/2
=45°
now
<POE+<QOE=180°(linear pair)
<POE+135°=180°
<POE=180°-135°
<POE=45°
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