Q. 10

# in Figure 5.68 lines l and m are parallel. Then find the value of ∠x. Give reason also.

Answer :

In the above figure,

Let the transversal intersect at CD at point O.

So ∠ COG and ∠ AGO are interior angles lying at the same side of the transversal and hence their sum has to be 180°.

∠ AGO + ∠ COG = 180°

Given, ∠ COG = 68°

∠ AGO + 68° = 180°

∠ AGO = 180 – 68

= 112°

∠ AGO = ∠ EGB as they are vertically opposite angles.

x + x = 112°

2x = 112°

x = 112 / 2

x = 56°

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