Question

5. In each of the following
value of x if I || m and a
e
n
(17x +4°)
(12° + 15x)
mt​

Answer 1

Answer:

(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

∘