Question

in the given figure DE||QR. AP and BP are bisectors of angle EAB and angle RBA. Find Angle APB. ​

Answer 1

Answer:

angle APB = 90°

Step-by-step explanation:

since angle EAB and angle RAB are on the same side of transversal

therefore, angle EAB+ angle RAB= 180°

1/2 angle EAB + 1/2 angle RAB = 180°/2

angle PAB + angle PBA = 90° .......(i)

in triangle APB by angle sum property

angle PAB + angle RAB + angle APB = 180°

90° + angle APB = 180° ( using i )

angle APB = 90°