Question

Example-5. Calculate ZAOC, Z BOD and ZAOE in the adjacent figure given that
<COD=90°, Z BOE = 72º and AOB is a straight line,
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Answer 1

Step-by-step explanation:

$Since \: AOB \: is \: a \: straight \: line, \: we \: have \: </p><p></p><p>∠AOE+∠BOE=180o</p><p></p><p>=3xo+72o=180o</p><p></p><p>⇒3xo=108o⇒x=36o \: </p><p></p><p>We \: also \: know \: that \: </p><p></p><p>∴∠AOC+∠COD+∠BOD=180o        (∵ straight \: angle)</p><p></p><p>⇒xo+90o+yo=180o</p><p></p><p>⇒36o+90o+yo=180o</p><p></p><p>yo=180o−126o=54o</p><p></p><p>∴∠AOC=36o,∠BOD=54o and ∠AOE=108o</p><p></p><p>$