Question

question no.11
please solve this....

Answer 1

angle ABG = 180 -150= 30 (linear pair)
angle AGB = 180-(30+30)= 120 (angle in a triangle)
angle AGB = x = 120
because x and AGB are corresponding angles

Answer 2

Angle ABC=150°
We know that SUM OF TWO INTERIOR ANGLE IS ANGLE OF OPPOSITE EXTERIOR ANGLE

Angle G +Angle A=150
Angle G +30°=150°
Angle G=150-30
Angle G=120°

Now see Line CH and ED
It is Parallel Line and A tranversal GD cutting it
As we know property of Parallel Line that when Cut by Tranversal That Opposite Angle are equal
Since Angle X is interior and G is EXTERIOR and also corresponding angle So it will equal

Angle G=AngleX
120°=120°

Angle X=120°