Intersecting Lines and Non-intersecting Lines

In the adjacent figure, $r\perp p$ and $r\perp q$

If $p\parallel q$ and $\angle 1=63°$ then find the value of $\angle 2$?   (Write the answer without degree)

In the adjacent figure line segment $DE$ and $FG$ are drawn parallel to base $BC$ of triangle.

How many triangles are there?

In the adjacent figure $r\perp p$ and $r\perp q$

Is $p\parallel q$$?$ If so why $?$

 In the adjacent figure, there is triangle $ABC$ and line $BD$ is parallel to side $AC$, $\angle ACB=30°$ and $\angle ABD=28°$. Find the value of $\angle ABC, \angle DBK$ and $\angle BAC$.

The adjacent figure has two parallel lines $l$ and $m$ and a slant line $t$. If $\angle 1=30°$. Find the value of remaining angles $2, 3, 4, 5, 6, 7$ and $8$.

In the adjacent figure line segment $DE$ and $FG$ are drawn parallel to base $BC$ of triangle.

How many trapeziums are there?

Draw a parallel line to a given line from a point that is not on it.

Draw a line parallel to $AB$ at a distance of $5 \mathrm{cm}$ from the given line $AB$.

Three or more lines are _____, if they pass through a common point.