Question

Lie on a strought

A B and c
line
A
B
BO=CD
LBC D = 60 and LBADS
out X
work

Answer 1

just a quick addition to the great work by Hrish ii above.

Check the picture below.

bearing in mind that twin sides stemming out of a vertex, BD and CD, make twin angles.

Answer 2

25°

Explanation:

In
`\triangle BCD`

BD = CD .....(Given)

`\implies m\angle CBD = m\angle BCD`

(By isosceles triangle theorem)

`m\angle BCD = 60\degree....(given)`

`\implies m\angle CBD = 60\degree`

Now,

`m\angle CBD + m\angle ABD= 180\degree`

(Angles in linear pair)

`\implies 60\degree + m\angle ABD= 180\degree`

`\implies m\angle ABD= 180\degree - 60\degree`

`\implies m\angle ABD= 120\degree`

Next, in
`\triangle ABD`

`m\angle BAD + m\angle ABD+ m\angle ADB= 180\degree`

(By interior angle sum postulate of a triangle)

`\implies 35\degree + 120\degree+ x= 180\degree`

`\implies 155\degree+ x= 180\degree`

`\implies x= 180\degree-155\degree`

`\implies x= 25\degree`