plz ans it fast! tommorow is my exam.
In the Given fig, it is given that TR =TS,angle1=twice of angle 2and angle 4=twice of angle3 .prove that tri RBT is congruent to tri SAT
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angle 1=angle4 ( verticle opposite angles )
as angle 1= angle 4 so angle 2 = angle 3
now in tri ars and tri bsr,
ange ars = angle bsr( since tr=ts given)
angle 2=angle3
rs common
now tri ars is congruent to tri bsr by ASA rule
sa=rb(cpct)
now in tri rbt and tri sat,
sa=br( proved above)
tr=ts (given)
angle A common
so tri rbt is congruent to tri sat by SSA rule
as angle 1= angle 4 so angle 2 = angle 3
now in tri ars and tri bsr,
ange ars = angle bsr( since tr=ts given)
angle 2=angle3
rs common
now tri ars is congruent to tri bsr by ASA rule
sa=rb(cpct)
now in tri rbt and tri sat,
sa=br( proved above)
tr=ts (given)
angle A common
so tri rbt is congruent to tri sat by SSA rule
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