In the given figure , ab parallel cd . Find the value of x . Class 9 .
Answers
Given : AB || CD
To Find : the value of x
Solution:
AB || CD
=> ∠HGE = 85° ( corresponding angles)
∠HGE + ∠HGX = 180° linear pair
=> 85° + ∠HGX = 180°
=> ∠HGX =95°
∠CHX = ∠HGX + x ( exterior angle of triangle = Sum of opposite two interior angles)
=> 115° = 95° + x
=> x = 20°
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Answer:
x=20
Step-by-step explanation:
Let the the point of vertex X° as P
∠DGP= ∠GEF =85°( Exterior alternate angles)
∠PHG+∠PHC=180°
∠PHG= 180°- 115°
∠PHG= 65°
∠DGP = ∠PHG + x°( Sum of interior opposite angles is equal to the exterior angle of the third side)
x°= ∠DGP- ∠PHG
x°= 85°-65°
x=20
x°= 20°