Question

Please solve q 96 ?

Answer 1

`BED=12^@`

Explanation:

In `BCE, angleBDC=180-78-24=78^@`
as `angleBDC=angleDBC=78^@, => color(red)(CD=CB)`
In `DeltaBCE, angleBEC=180-51-78=51^@`
as `angleBEC=angleEBC=51^@, => color(red)(CE=CB)`
`=> CB=CD=CE`
`=> B,D and E` are on a circle with center at `C`, as shown in the figure.
recall that the angle subtended at the center of a circle is twice the angle subtended at the edge from the same two points,
`=> angleBCD=2angleBED`,
`=> angleBED=(angleBCD)/2=24/2=12^@`