Question

Finding angle measures between intersecting lines. Note: Angles necessarily drawn to scale. x=__

​

Answer 1

`\boxed{\tt x= 45^(\circ)}`

Explanation:

∠BEG and ∠DEB combine to form ⇒ ∠DEG, which is a vertical angle with ∠x because it's the opposite from ∠x.

(Vertical angles are always congruent, or of equal measure)

So,
`\tt \angle BEG +\angle DEB=\angle x`

`\tt \angle BEG +\angle DEB=\angle x`

`\tt 25^(\circ)+20=x`

`\tt 45^(\circ)=x`

`\tt x= 45^(\circ)`

_____________________________

Answer 2

x=25+30=55 since the vertically opposite angle are equal.sorry the no is not clear in question