Question

when two line intersect the vertically opposite angle are equal its true or false

Answer 1

Answer:

When two straight lines intersect each other vertical angles are formed. Vertical angles are always congruent and equal. Vertical angles are congruent as the two pairs of non-adjacent angles formed by intersecting two lines superimpose on each other.

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

"If two lines intersect each other , then the vertically opposite angles are equal"

we can show it by taking an example :

∠POR=∠QOS ∠POS=∠ROQ

let PQ and RS intersect each other then we show that vertically oppposite angles i.e

now ray OP is on RS

∠POR+∠POS=180-------------1 (linear pair axioms)

simillarly

∠POR+∠QOS=180------------2

from 1 and 2

∠POS+∠QOS=∠POR+∠POS

or

∠POR+∠QOS

similarly

∠POS+∠ROQ