The vertically opposite angles, ∠4 and ∠2 are equals.
What is vertically opposite angles?
Vertical angles are angles opposite each other where two lines cross.
What is linear pair?
A linear pair can be defined as two adjacent angles that add up to 180° or two angles which when combined together form a line or a straight angle.
According to the given question.
On line m, we have
∠4 + ∠1 = 180 degrees ...(i) (by linear pair)
On line n, we have
∠1 + ∠2 = 180 degrees ...(ii) (by linear pair)
from equation (i) and (ii)
∠4 + ∠1 = ∠1 + ∠2
⇒ ∠4 = ∠2
Hence, we proved that the vertically opposite angles ∠4 and ∠2 are equals.
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