In figure, ∠ABC = 65°, ∠BCE = 30°, ∠DCE = 35° and ∠CFE = 145°. Prove that AB || EF.
In given figure, if OP||RS, ∠OPQ = 110° and ∠QRS = 130°, then find ∠PQR.
In the figure given below, AB||CD. Find the value of x.
In Fig. 6.24, if AB || CD, EF ⊥ CD and ∠ GED = 126°, find ∠ AGE, ∠ GEF and ∠ FGE.
In Fig. 6.26, if AB || CD, ∠ APQ = 50° and ∠ PRD = 127°, find x and y.
In Fig. 6.27, PQ and RS are two mirrors placed parallel to each other. An incident ray AB strikes the mirror PQ at B, the reflected ray moves along the path BC and strikes the mirror RS at C and again reflects back along CD. Prove that AB || CD.
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