find the values of w, x, y and z
/ y (corner of triangle)
/ x (corner of triangle) 46 degrees (corner of triangle)
The triangle forms from below y to the corner of 46 degrees then back to the corner of x/w. I straight line slants
through the dotted/slanted lines.
/32 degrees (the corner of the triangle)
/z degrees(this line goes thru the triangle)
this is the corner of the triangle
I hope this make sense
The top diagram forms a backward Z shape with a slanted line going down the left side connecting the corner of the Y degrees and 54 degrees to the corner of x degrees and w degrees.
The bottom diagram is an acute angle with a 32 degreee angle. Then a line goes through the bottom of the open angle forming an abtuse angle that is z degrees.
i draw the figure using given content.
here ab and cd are parallel lines and line bc intersecting them.
then angle bcd = angle abc
then angle abc = 46.
the angle sum on a line at one point = 180
then angle abe + angle abc + angle cbd = 180
or 54 + 46 + y = 180
100 + y = 180
y = 180 - 100 = 80
Angles bcd , cbd, bdc are the internal angles of triangle bcd.
the angle sum of triangle = 180
then Angle bcd + angle cbd + angle bdc = 180
46 + 80 + x = 180
126 + x = 180
x = 180 - 126 = 54.
and angle w is the obtuse angle of x
the angle w = 180 - 54 = 126.
and angle z = 180 - 32 = 148.
i have little of confusion in bottom figure. so if u have any doubt or want to any other explanation please send me a well defined figure in paint or other tool.