Angle 5(∠5) corresponds to angle 6(∠6). correct option a.
Step-by-step explanation:
In the given parallelogram or rectangle , we have a angle 6(∠6) . We need to find which angle is in correspondence with angle 6(∠6) of parallelogram URST .
Angle 6 ( ∠6):
In triangle UTR & TSR
∠UTR = ∠TRS ( By property of alternate interior angles)
∵ UR || TS and TR = TR ( Common side of triangle is equal)
also, ∠URT = ∠RTS ( By property of alternate interior angles)
By using ASA congruence property,
ΔUTR≅ΔTSR .
So there's correspondence of angle 5(∠5) with angle 6(∠6) .
Angle 7 ( ∠7):
In triangle UTR , we see that angle 7(∠7) and In triangle RTS, angle 5(∠5) are not related to each other ( They maybe bisector but this isn't mentioned here !) So there's no correspondence of angle 5(∠5) with angle 7(∠7) .
Angle 8 ( ∠8):
In triangle UTR , we see that angle 8(∠8) and angle 5(∠5) are not related to each other ( They maybe equal but that isn't mentioned here !) So there's no correspondence of angle 5(∠5) with angle 8(∠8) .
