Mathematics

# $\overset {\leftrightarrow}{AB}$ and $\overset {\leftrightarrow}{CD}$ intersect each other at point $E$. $m\angle BED = 145^{\circ}$, then find the measure of remaining angles.

##### SOLUTION
By supplementary pair, $m\angle AED = 180^{\circ} - 145^{\circ} = 35^{\circ}.$
$m\angle AEC = 145^{\circ}$ ($\because$ it is vertically opposite to $m\angle BED.$ )
$\angle BEC = 35^{\circ}$ ($\because$ it is vertically opposite to $m\angle AED.$  )

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Subjective Medium Published on 09th 09, 2020
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