Question

9. Given that AB // CD, find the values of the unknowns in each of the following figures.​

Answer 1

Answer:

h°=112°

i°=65°

j°=47°.

Answer 2

ǫᴜᴇsᴛɪᴏɴ-:

Given that AB // CD, find the values of the unknowns in each of the following figures.

sᴏʟᴜᴛɪᴏɴ-:

Draw a line GH parallel to AB and CD passing through E.

$\green\implies$ $\sf\angle{GEA}$ = $\sf\angle{EAB}$ (Alternate angles)

$\green\implies$ $\sf\angle{GEA}$ = $\sf{65°}$

$\green\implies$ $\sf\angle{GEC}$ = $\sf\angle{ECD}$ (Alternate angles)

$\green\implies$ $\sf\angle{GEC}$ = $\sf{35°}$

$\green\implies$ $\sf\angle{CEA}$ = $\sf\angle{GEA}$ + $\sf\angle{GEC}$ (From figure)

$\green\implies$ $\sf{x~=~65°~+~35°~=100°}$