Q3 of 11 Page 11

In the adjoining figure. line p || line q. line l || line m. Find measures of ∠a, ∠b, and ∠c, using the measures of given angles. Justify your answers.


• Given: Line p || line q, line l || line m.


• To find: The measure of ∠a, ∠b and ∠c.



Now in this figure


∠CIJ+∠AJI=180° (∵ Exterior angles are supplementary)


⇒ 80° +a=180°


⇒ a = 100°


Also,


∠AJI+∠IJL=180° (Linear pair)


⇒100° +∠IJL=180°


∴ ∠IJL=80°


∠BLK=∠LJI=b(corresponding angles are equal)


∴ b=80°


∠EIK=∠CIJ=80° (Opposite angles are equal)


∠GKD=∠EIK=c(corresponding angles are equal)


∴ c=80°


∴ Values of a,b and c are 100° , 80° ,80° respectively.


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1

Choose the correct alternative.

In the adjoining figure, if line a || line b and line l is a transversal then find x.



 2

In the adjoining figure line p || line q. Line t and line s are transversals. Find the measure of ∠x and ∠y using the measures of angles given in the figure.


 4

In the adjoining figure, line a || line b. line l is a transversal. Find the measures of ∠x, ∠y, ∠z using the given information.


 5

In the adjoining figure, line p || line l || line q. Find ∠x with the help of the measures given in the figure.