Question

find angle AED,IF AC PARALLEL TO DB​

Answer 1

Answer:

Angle AED will be 70 degree.

Answer 2

Answer:

Angle AED = 70 °

Step-by-step explanation:

${\small{\tt{\angle DBA = \angle BAC = 40° (By \ Alternate \ angle\ property)}}}$

Similarly,

${\small{\tt{\angle BDC= \angle DCA= 30° (By \ Alternate \ angle\ property)}}}$

${\small{\tt{ \angle BDE + \angle DBE + \angle BED = 180° (By\ ASP \ property )}}}$

${\small{\tt{\implies{ 30° + 40° + \angle BED = 180 °}}}}$

${\small{\tt{\implies{ \angle BED = 180° - 70° = 110°}}}}$

${\small{\tt{\angle AED + 110° = 180° ( By \: sum \: of \: linear \: \: pair \: is \: 180°)}}}$

${\small{\tt{\implies{\angle AED = 180° - 110° = 70° }}}}$

${\tiny{\blacksquare}}\ \ {\small{\frak{\underline{\boxed{\purple{ \therefore\angle AED = 70°}}}}}}$

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