Please solve q 7?

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Please solve q 7?

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Answer 1 · 2018-05-06T08:39:09

$B E = 0$ $BE=0$

Explanation:

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Given $A B = A C, A D$ $AB=AC, AD$ // $B C$ $BC$ , and $A D C$ $ADC$ is equilateral,
$\Rightarrow ∠ C A D = ∠ C D A = 60^{\circ}$ $=> angleCAD=angleCDA=60^@$ ,
$=> angleACB=60^@, => DeltaABC$ is also equilateral,
$=> AB=BC=AC=AD=DC$ ,
$=> ABCD$ is a rhombus,
We know that the diagonals of a rhombus bisect opposite angles,
given that the bisector of $angleD$ meets $AB$ at $E$ ,
$=> E$ coincides with $B$ ,
$=>$ the angle bisector is the diagonal $DB$ ,
$=> BE=0$

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Please solve q 7?

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