ABCD एक चक्रीय चतुर्भुज है जिसका व्यास AB है। AC और BD विकर्ण E बिंदु काटते हैं। यदि `angleDBC=35^(@)` हो तो `angleAED` का माप होगा?

Options

A. `35^(@)`
B. `45^(@)`
C. `55^(@)`
D. `90^(@)`

Answer

C

Explanation

According to figure `angleABD` is right `angle`triangle because subscribe in half circle.
`therefore angleADB=90^(@)`
same as `angleACB= 90^(@)`
Now in `DeltaECB`
`angleECB + angleEBC + angleBEC = 180^(@)`
`90^(@)+35=EBC=180`
`angleBEC = 180-125`
`angleBEC = 55^(@)`
`angleBEC =angleAED = 55^(@)`