Q176Short answer
ABCD is a parallelogram. The bisector of angle A intersects CD at X and bisector of angle C intersects AB at Y. Is AXCY a parallelogram? Give reason.
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∠A = ∠C (opp. Ls of a gm) ∠A ∠C = (÷2) 2 2 ∠1 = ∠2 But ∠2 = ∠3 (all ∠s) ∴ ∠1 = ∠3 But they are a pair of corresponding ∠s YC ∴ AX (1) XC AY DC) (2) (AB From (1) and (2) AXCY is a Parallelogram