Mathematics

In the adjoining figure, it is being given that $$ AO \parallel CD, OB \parallel CE $$ and $$ \angle AOC=50^o $$. Find the measure of $$ \angle ECD $$.


SOLUTION
From the question,
Given that, $$ AO \parallel CD,OB \parallel CE $$ and $$ \angle AOB = 50^o $$
$$ \angle AOD= \angle CDB = 50^o $$
[ $$ \because $$ Corresponding angles are equal]
Then,
$$ \angle ECD+ \angle CDB=180^o $$     ...[$$ \because $$ Consecutive interior angles are supplementary]
$$ \angle ECD + 50 = 180 $$
$$ \angle ECD=180-50 $$
$$ \angle ECD=130^o $$
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Subjective Medium Published on 09th 09, 2020
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