Question

IN EACH CASE FIND X AND Y WHERE L II M

Answer 1

Step-by-step explanation:

(i)Here ∠HGB=∠AGE(vertically opposite angles)

∠HGB=110∘

Now, for parallel lines l and m, with transversal t.

∠HGB+∠GHD=180∘(Angles on the same side of the transversal are supplementary)

110∘+∠GHD=180∘

∠GHD=180∘−110∘=70∘

(ii)For parallel lines l and m with transversal a

∠AIE=∠CJI (corresponding angles)

⇒x=100∘