Q. 65.0( 3 Votes )
In the figure AB|
Answer :
Given that ∠EGB=50°
Since, AB||CD and EF is a transversal,
∠GHD=∠EGB=50° (corresponding angles) ……….(1)
∠CHF=∠EGB=50° (alternate exterior angles)
∠AGH=∠GHD =50° (alternate interior angles)
Now, ∠BGH+∠GHD=180° (co-interior angles)
⇒ ∠BGH+50° =180° (from (1))
⇒ ∠BGH=180°-50°
⇒ ∠BGH=130°
∠GHC=∠BGH=130° (alternate interior angles)
∠AGE=∠GHC=130° (corresponding angles)
∠DHF=∠AGE=130° (alternate exterior angles)
Hence, ∠GHD=50°, ∠CHF=50°, ∠AGH=50°, ∠BGH=130°, ∠GHC=130°, ∠AGE=130° and ∠DHF=130°
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