Question

In fig.10.51,PQRS is a parallelogram.RT and QT are bisectors of angle R and angle Q respectively meeting at T.Find the meeting of angle T.​

Answer 1

In parallelogram ∠R+∠Q=180

o

but ∠1=∠2 and ∠3=∠4 [given]

⇒∠1+∠2+∠3+∠4=180

o

∴∠1+∠3=90

o

∴∠T=180−90

o

=90

o

proved [sum of angles in a triangle=180

o

]