Question

Draw three parallel line segments AB, CD, EF. Draw a line segment PQ intersecting AB and CD AU points O and R, respectively. Draw a line segment, XY intersecting EF at right angles, at point L


Please answer as fast as you can ​

Answer 1

Answer:

x:y:z=2:3:5

let the angles be 2u,3u and 5u

∠BOF=∠AOE=x

∘

=2u (Alternete angles)

∠EOD=∠COF=y

∘

=3u (Alternete angles)

∠AOC=∠DOB=z

∘

=5u (Alternete angles)

∠EOD+∠DOB+∠BOF+∠FOC+∠COA+∠AOE+∠=360

∘

3u+5u+2u+3u+5u+2u=360

∘

20u=360

∘

u=

20

360

∘

=18

∘

x=2×18

∘

=36

∘

y=3×18

∘

=54

∘

z=5×18

∘

=90

∘