Question

Find the value of x in each of the following figures if l || m.
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Answer 1

Answer:

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  

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

∠AIE=∠CJI (corresponding angles)

⇒x=100  

∘

Answer 2

Answer:

x = 110° (Corresponding angle of the angle 110°)

Alternative method :

x = 180° - 70°

= 110°

Ans. 110°

Hope it helps.