Question

how many pairs of lateral angle subtended when two lines intersect at apoint​

Answer 1

4 pairs

Two adjacent angles add up to 180 deg and supplementary to each other. So you have 4 pairs of adjacent angles formed where two straight lines intersect each other.

Answer 2

Two pairs of lateral angles are possible when two straight line intersects at a single point.

• In the below diagram,we can see that there are two straight lines - AB and CD.

• These two straight lines AB and CD intersects at a single point marked as 'O' in the below diagram.

• In this situation these two lines form four lateral angles - AOC,COB,BOD and AOD.

And, we know that

2 units = 1 pair

4 units = 2 pairs

That's why we can come to a conclusion that when two straight lines intersect at a point they form two pair of lateral angles.