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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