Question

Guys solve it fast please....​

Answer 1

Step-by-step explanation:

given GED=126⁰

AB ll CD

So GE is transversal

so AGE=GED (alternate angles)

=>AGE=126⁰

FED=90⁰,and GED=126⁰

Now GEF=GED-FED

=126⁰-90⁰

=36⁰

similarly,FGE=180-AGE

=180-126

=54⁰

soAGE=126,GEF=36⁰ and FGE=54⁰

please mark my answer brainliest

Answer 2

Given :

• AB // CD
• EF perpendicular to CD

To Find :

• ∠AGE
• ∠GEF
• ∠FGE

Solution :

$\longmapsto\tt{\angle{AGE}=\angle{GED}\:(A.A.)}$

$\longmapsto\tt\bf{\angle{AGE}=126\degree}$

Now ,

$\longmapsto\tt{\angle{GED}=\angle{GEF}+\angle{FED}}$

$\longmapsto\tt{126\degree=\angle{GEF}+90\degree}$

$\longmapsto\tt{126\degree-90\degree=\angle{GEF}}$

$\longmapsto\tt\bf{\angle{GEF}=36\degree}$

Also ,

$\longmapsto\tt{\angle{AGE}+\angle{EGF}=180\degree\:(L.P)}$

$\longmapsto\tt{126\degree+\angle{EGF}=180\degree}$

$\longmapsto\tt{126\degree-180\degree=\angle{EGF}}$

$\longmapsto\tt\bf{\angle{EGF}=54\degree}$

Therefore :

$\longmapsto\tt\bf{\angle{GEF}=36\degree}$

$\longmapsto\tt\bf{\angle{EGF}=54\degree}$

$\longmapsto\tt\bf{\angle{AGE}=126\degree}$