`DeltaABC` में AB और AC भुजाओ के मध्य बिंदु क्रमश, D और E है । यदि `angleBAC=60^(@)` और `angleABC=65^(@)` हे, तो `angleCED=`?

Options

A. `125^(@)`
B. `75^(@)`
C. `105^(@)`
D. `130^(@)`

Answer

A

Explanation

According to the question, `rArr` D and E are the mid-point of side AB and AC respectively.
`rArr` So, `DE||BC` (from thales theorem)
`rArr` So, `angleCED=angleADE+angleDAE`
[External angle
Theorem in `DeltaADE`
`rArr angleCED = 60^(@)+65^(@)`
`=125^(@)`