Question

Lines and angles
9 th grade
Maths
Plz Answer detaily

Answer 1

Angle GED = 126°

Angle GEF + Angle FED = Angle GED

Angle GEF + 90° = 126°

Angle GEF = 36°

Now in triangle GFE,

Angle GEF + Angle GFE + Angle EGF = 180°

Angle EGF = 180°-126° = 54°

And, Angle AGE + Angle EGF = 180° (Linear Pair)

Angle AGE = 180°-54° = 126°

Answer 2

Step-by-step explanation:

We Have :-

$angle \: ged \: = \: 126$

To Find :-

$angle \: egf \\ \\ \\ angle \: gef \\ \\ \\ angle \: age$

Solution :-

$angle \: gef \: = \: angle \: ged - angle \: fed \\ \\ \\ angle \: gef \: = 126 - 90 \\ \\ \\ angle \: gef \: = \: 36 \\ \\ \\ angle \: fge + angle \: gef \: + angle \: efg \: = 180 \\ \\ \\ fge + 36 + 90 = 180 \\ \\ \\ fge = 54 \\ \\ \\ angl \: age \: = angle \: gef + angle \: efg \\ \\ \\ age = 36 + 90 \\ \\ \\ age \: = 126$