Question

1.
If a line 'p' is intersecting the lines 7' and 'm' in two distinct points A and B. What do you call such a
line 'p'?​

Answer 1

Answer:

Two distinct lines can intersect at only point, as there is only one common point between two intersecting lines. For example, if l and m are two intersecting lines then there is only one common point O between them. This is the point of intersection.

Answer 2

we call such a line P as called parallel :

here is the example sum for you

Let us mark the points R and S on line n, T and U on line p, A and B on line l and C and D on line m.

Suppose the lines n and p intersect the line l at K and L respectively and line m at M and N respectively.

Since, the line l and line p intersect at L, then

∠KLN = ∠BLT (Vertically opposite angles)

⇒∠KLN = 45∘

Since, line l || line m and line p is a transversal intersecting them at L and N, then

∠KLN + ∠MNL = 180∘ (Pair of interior angles on the same side of transversal is supplementary)

⇒45∘ + ∠a = 180∘

⇒∠a = 180∘ − 45∘ = 135∘

Since, the line m and line p intersect at N, then

∠DNU= ∠MNL (Vertically opposite angles)

⇒∠b = ∠a = 135∘

Since, line n || line p and line m is a transversal intersecting them at M and N, then

∠NMS = ∠DNU (Corresponding angles)

⇒∠c = ∠b = 45∘