Question

In the given figure, A,D,B,E and C are concylic. If `angleACB=60^(@)` and `angleAED=50^(@)`, then find `angleDEB`.

A. `15^(@)`
B. `10^(@)`
C. `20^(@)`
D. `5^(@)`

Answer 1

Correct Answer - B

Join CD and EB
`angleACD=angleAED=50^(@)` (angles in the same segment and `angleAED=50^(@))`
`angleACB=60^(@)` (given)
`rArr angleDCB=angleACB-angleACB=60^(@)-50^(@)=10^(@)`
`angleDEB=angleDCB=10^(@)`. (angles in the same segment).