Q$1(50$ points$)$:

Given the front and top view of the triangles ABC and DEF : i$)$ Find the slope of the plane ABC $(8$ points$),$ ii$)$ Find the intersection line between the two planes and draw it on the front and top view $(8$ points$),$ iii$)$ Find the distance from A to the mid$-$point of the intersecting line $(8$ points$),$ iv$)$ Find the true length of the intersection line and its slope $(8$ points$),$ v$)$ Find the dihedral angle $(8$ points$).$ Plan your method making effective use of the horizontal line CH $.$ The questions have been placed in the specific order to facilitate your work progression. The blue dimensions represent the horizontal distance of each point from point A$.$ All dimensions are in mm$.$ SCALE $1$:$1.10$ points are for quality of the work.

It is suggested to draw the top and front view as close to the bottom of your paper sheet as possible, slightly to the right. Remember, you can tape multiple sheets together if you run out of space on a single sheet.