Question

In fig goven below AB1 / CDthe value of x is ............​

Answer 1

Answer:

આવ નહીં આદર નહીં, નહીં વચન મા નેહ

તે ઘર કદી ન જોઇએ, ભલે કંચન વરસે મેહ.ગુજરાતી વિચાર વિસ્તાર સમજાવો

Answer 2

$\bigstar$ Question:

• In the fig. given below AB || CD. Find the value of x.

$\bigstar$Given:

• AB || CD
• $\angle$BHG = 140°
• $\angle$CIG = 36°

$\bigstar$To find:

• The value of x.

$\bigstar$ Construction:

• Draw EF parallel to AB and CD passing through point G.

$\bigstar$ Solution:

$\because$ AB || EF and HG Is the transversal,

$\therefore$ $\angle$BHG + $\angle$HGF = 180°

( Interior angles on the same side of the transversal)

$\implies$ 140° + $\angle$HGF = 180°

$\implies$ $\angle$HGF = 180° - 140°

$\implies$ $\angle$ HGF = $\boxed{40°}$

$\because$ EF || CD and GI is the transversal,

$\therefore$ $\angle$CIG = $\angle$FGI = 36°

( Alternate Interior Angles)

$\implies$ $\angle$FGI = $\boxed{36°}$

$\because$ x = $\angle$HGF + $\angle$FGI

$\implies$ x = 40° + 36°

$\implies$ x = $\boxed{76°}$

$\bigstar$Answer:

$\therefore$ x is $\boxed{76°}$