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In figure, ∠ABC = 65°, ∠BCE = 30°, ∠DCE = 35° and ∠CFE = 145°. Prove that AB || EF.
In the given figure, AB||CD, ∠ABO = 40°, ∠CDO = 35°. Find the value of the reflex ∠BOD and hence the value of x.
If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2 : 3, then the greater of the two angles is
In Fig. 6.3, if OP||RS, ∠OPQ = 110° and ∠QRS = 130°, then ∠PQR is equal to
A transversal intersects two lines in such a way that the two interior angles on the same side of the transversal are equal. Will the two lines always be parallel? Give reason for your answer.
In Fig. 6.5, find the value of x for which the lines l and m are parallel.
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